Find the least common multiples of 60,84,108
Answers
Answer:
Question: What is the LCM of 60, 84 and 108?
LCM of is the least (smallest) number which is exactly divisible by the given set of numbers.
Answer: LCM of 60, 84 and 108 = 3780
We will learn two methods to find LCM of 60, 84 and 108
Explanation:
The least common multiple is the smallest number which is exactly or perfectly divisible by the given numbers.
LCM of 60, 84 and 108 by Prime Factorization Method
LCM of 60, 84 and 108 by Long Division Method
Method 1: LCM by Prime Factorization Method
Steps to find LCM by using prime factorization are given below.
Step 1: Write the prime factorized form which must be in exponential notation.
Step 2: Take the product of factors with their highest power.
Prime Factorised form of 60: 22 × 3 × 5
Prime Factorised form of 84: 22 × 3 × 7
Prime Factorised form of 108: 22 × 33
Therefore LCM of 60, 84 and 108 would be 22 × 33 × 5 × 7 = 3780
Method 2: LCM by Long Division
In this division method, we divide the numbers parallelly with prime numbers and stop until we don't have a prime number to divide the given numbers.
LCM of 60, 84 and 108
Irrespective of the method, the solution to our question is the same.
Thus, LCM of 60, 84 and 108 is 3780
Step-by-step explanation:
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