Least Common Multiple of 84, 56, 111
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 84, 56, 111 i.e. 6216 smallest integer divisible by all numbers.
Least common multiple (LCM) of 84, 56, 111 is 6216.
LCM(84, 56, 111) = 6216
LCM of 84, 56, 111
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 84, 56, 111 by common division method
- Least Common Multiple of 84, 56, 111 with GCF Formula
Least Common Multiple (LCM) of 84,56,111 is 6216
| 2 | 84, 56, 111 |
| 2 | 42, 28, 111 |
| 3 | 21, 14, 111 |
| 7 | 7, 14, 37 |
| 1, 2, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 2 x 37 = 6216
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 84,56,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,56,111) = 1
common factors(in case of two or more numbers have common factors) = 84
GCF(84,56,111) x common factors =1 x 84 = 84
LCM(84,56,111) = ( 84 × 56 × 111 ) / 84
LCM(84,56,111) = 522144 / 84
LCM(84,56,111) = 6216
∴ Least Common Multiple of 84,56,111 is 6216
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 84, 56, 111
1. What is the LCM of 84, 56, 111?
Answer: LCM of 84, 56, 111 is 6216.
2. What are the Factors of 6216?
Answer: Factors of 6216 are . There are integers that are factors of 6216
3. How to Find the LCM of 84, 56, 111 ?
Least Common Multiple of 84, 56, 111.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(84, 56, 111) = 2 x 2 x 2 x 3 x 7 x 37 = 6216.