What is the LCM of 25,35,30 and 40? Kindly give a step by step answer.
Answers
Answer:
The least common multiple, or LCM, is another number that's useful in solving many math problems. Let's find the LCM of 30 and 45. One way to find the least common multiple of two numbers is to first list the prime factors of each number.
30 = 2 × 3 × 5
45 = 3 × 3 × 5
Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
2: one occurrence
3: two occurrences
5: one occurrence
2 × 3 × 3 × 5 = 90 <— LCM
After you've calculated a least common multiple, always check to be sure your answer can be divided evenly by both numbers.
lets try your example.
25= 5 × 5
30= 2 × 3 × 5
35= 5 × 7
40= 2 × 2 × 2 × 5
LCM= 5 × 5 × 3 × 7 × 2 × 2 × 2 = 4200.
happy learning.
Have you planned financially for your retirement?
25 30 35 40 | 5
..5 ..6 ..7 ..8 | 2³
..5 ..3 ..7 ..1 | 3×5×7=105
LCM(25, 30, 35, 40)= 105×5×8=105×40=1050×4=4200
What is the LCM of 20, 25, and 35?
The LCM is found as follows 20 =2x2x5 25 = 5x5 35 = 5x7 So LCM = 2x2x5x5x7 = 700. Answer = 700.
What is the LCM of 20, 25, 30?
20 = 2 x 2 x 5 25= 5 x 5 30=2 x 3 x 5 LCM=2 x 2 x 5 x 5 x 3=300
Which is the smallest number which can be a multiple of 20, 25, 30, 40 = 600?
The prime factors of the numbers given are 2*2*5, 5*5, 3*2*5, and 2*2*2*5. So a multiple needs to 2*2*2*3*5*5, or 600. But “smallest” can be negative. There is no smallest such number, as for any candidate X you can always subtract 600 to get X-600 which also qualifies.
What is the L.C.M. of 24, 30, and 40?
Answer is 120. 24 = 2 X 2 X 2 X 3 30 = 2 X 3 X 5 40 = 2 X 2 X 2 X 5 So LCM is 3 X 5 X 2 X 2 X 2= 120
The L.C.M of three numbers is 1260. if the numbers are 15, 18, and c, what is the square of the number?
15 = 3 x 5; 18 = 2 x 3 x 3; 1260 = 2 x 2 x 3 x 3 x 5 x 7 The missing number must be 2 x 2 x 7 because the LCM has the highest power of each factor appearing in the numbers. If your question is “What is the square of the third number?” Then 28 x 28 = 784 is your answer.
What is the smallest number of 5 digits which when divided by 25, 30, and 40 leave the remainder of 20, 25, and 35?
Look at the numbers. There is a pattern. 25–20 =5 30–25 = 5 40–35 = 5 You have a short cut method for this pattern: L.C.M of (25, 30, 40) * k - 5 is the required number. 600–5 = 595, when k=1; scale up to find the least 5 digit number.
What is the L.C.M.?
A multiple of a number is the number times a positive integer. In other words, you can find a multiple of a number by taking the number times 1, times 2, times 3, etc… A common multiple of 2 numbers is a number that is a multiple of both numbers. Finally, LCM is LEAST common multiple, in other words if
What is the actual proof of HCF, LCM of Fractions?
Suppose given fractions are x/y, p/q , m/n & We need to find HCF ( x/y , p/q, m/n) Firsthand I'm not using any formula Let A/B be the HCF of given fractions => Each given fraction should be exactly divisible by A/B ie the quotient should be a whole number except zero. ( pls consider, below given% symbol
What is the L.C.M. for 5, 10, and 12?
Prime factors of 5=5 Prime factors of 10=2*5 Prime factors of 12=2*2*3 LCM=product of common and non common factors =2*2*3*5 =60
What is the L.C.M of 20,25,45?
20, 25, & 45… LCM ? Their factors are.... 20 = 2, 4, 5,10…. 4 remains 25 = 5, 25. .. . … 5 …ditto... 45 = 3, 5, 9, 15, 45….9 remains Only the following are Common.... 5. REST NOT. Therefore the LCM is... 5*4*5*9 = 900 answer.
What is the LCM of 20, 25, and 35?
What is the LCM of 20, 25, 30?
Which is the smallest number which can be a multiple of 20, 25, 30, 40 = 600?
What is the L.C.M. of 24, 30, and 40?
The L.C.M of three numbers is 1260. if the numbers are 15, 18, and c, what is the square of the number?
What is the smallest number of 5 digits which when divided by 25, 30, and 40 leave the remainder of 20, 25, and 35?
Answer:
5....
Step-by-step explanation:
25=5×5
35=5×7,7×5
30=5×6,6×5,10×3,3×10
40=4×10,5×8,8×5,10×4...
Here 5 is the only common multiple ....
therefore lcm=5