how to find the lcm in division methdo
Answers
Answer:
To find the LCM by division method, we write the given numbers in a row separately by commas, then divide the numbers by a common prime number. We stop dividing after reaching the prime numbers. The product of common and uncommon prime factors is the LCM of given numbers.
Step-by-step explanation:
Step-by-step explanation:
Using the below pic as a reference I'll explain it to you.
Step 1: Divide them by a suitable prime number
→ You'll be able to do this if you know the divisibility rule of all the numbers
Eg.: Divisibility rule of three is sum of all numbers
As seen in this figure, the numbers cannot be divided by two, so we take the next least prime number 3
Note: If a number is not divisible by 2, move on to the next prime number. If it is the same case with the next one, continue to do so until the number is divisible by that prime number
Step 2: When you divide the number, it's quotient should be put in the next row.
→As seen in the below given figure 15 divides by 3 to give 5. So, we put the quotient which is 5 in the second row.
Since 35 is not divisible by 3 , we move it to the next row as such,
Step 3 : We continue step 1 and 2 until there is a co-prime , that is, until that number is no more divisible by any PRIME number.
→As given in the figure, 1, 7 and 3 are co-primes which are no more divisible by any other prime number other than the number itself.
Step 4 : We need to multiply all the primes and co-primes TOGETHER. This is the Lcm or Least common multiple.
→ As given below, to find LCM of 15,35 and 45, we need to multiply the prime numbers as follows:
3 x 5 x 7 x 3 = 315.
Follow these steps in all types of LCM related problems and practice them more, you will be able to understand it easily!
Hope this helps!
