Least Common Multiple of 72, 36, 284
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 72, 36, 284 i.e. 5112 smallest integer divisible by all numbers.
Least common multiple (LCM) of 72, 36, 284 is 5112.
LCM(72, 36, 284) = 5112
LCM of 72, 36, 284
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 72, 36, 284 by common division method
- Least Common Multiple of 72, 36, 284 with GCF Formula
Least Common Multiple (LCM) of 72,36,284 is 5112
| 2 | 72, 36, 284 |
| 2 | 36, 18, 142 |
| 3 | 9, 18, 71 |
| 3 | 3, 6, 71 |
| 1, 2, 71 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 2 x 71 = 5112
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 72,36,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,36,284) = 4
common factors(in case of two or more numbers have common factors) = 36
GCF(72,36,284) x common factors =4 x 36 = 144
LCM(72,36,284) = ( 72 × 36 × 284 ) / 144
LCM(72,36,284) = 736128 / 144
LCM(72,36,284) = 5112
∴ Least Common Multiple of 72,36,284 is 5112
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 72, 36, 284
1. What is the LCM of 72, 36, 284?
Answer: LCM of 72, 36, 284 is 5112.
2. What are the Factors of 5112?
Answer: Factors of 5112 are . There are integers that are factors of 5112
3. How to Find the LCM of 72, 36, 284 ?
Least Common Multiple of 72, 36, 284.
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(72, 36, 284) = 2 x 2 x 2 x 3 x 3 x 71 = 5112.