number is 1200.
1
1
Find the LCM of the following numbers by
common division method.
a. 32, 40,60
b. 15, 25, 90
c. 33,55,100 d. 32, 68,95
e. 110, 125, 175 f. 63, 70, 133
Cwe any two pairs of numbers whose LCM
Answers
Answer:
Step-by-step expla
Answer:
Step 1: Write the given numbers in a horizontal line, separating them by commas.
Step 2: Divide them by a suitable prime number, which exactly divides at least two of the given numbers.
Step 3: We put the quotient directly under the numbers in the next row. If the number is not divided exactly, we bring it down in the next row.
Step 4: We continue the process of step 2 and step 3 until all co-prime numbers are left in the last row.
Step 5: We multiply all the prime numbers by which we have divided and the co-prime numbers left in the last row. This product is the least common multiple of the given numbers.
For example:
1. Find least common multiple (L.C.M) of 20 and 30 by division method.
Solution:
least common multiple (L.C.M) of 20 and 30
Least common multiple (L.C.M) of 20 and 30 = 2 × 2 × 5 × 3 = 60.
2. Find least common multiple (L.C.M) of 50 and 75 by division method.
Solution:
Least Common Multiple (L.C.M) of 50 and 75
Least common multiple (L.C.M) of 50 and 75 = 5× 5 × 2 × 3 = 150.