Least Common Multiple of 57, 36, 228
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 57, 36, 228 i.e. 684 smallest integer divisible by all numbers.
Least common multiple (LCM) of 57, 36, 228 is 684.
LCM(57, 36, 228) = 684
LCM of 57, 36, 228
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 57, 36, 228 by common division method
- Least Common Multiple of 57, 36, 228 with GCF Formula
Least Common Multiple (LCM) of 57,36,228 is 684
| 2 | 57, 36, 228 |
| 2 | 57, 18, 114 |
| 3 | 57, 9, 57 |
| 19 | 19, 3, 19 |
| 1, 3, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 1 x 3 x 1 = 684
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 57,36,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,36,228) = 3
common factors(in case of two or more numbers have common factors) = 228
GCF(57,36,228) x common factors =3 x 228 = 684
LCM(57,36,228) = ( 57 × 36 × 228 ) / 684
LCM(57,36,228) = 467856 / 684
LCM(57,36,228) = 684
∴ Least Common Multiple of 57,36,228 is 684
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 57, 36, 228
1. What is the LCM of 57, 36, 228?
Answer: LCM of 57, 36, 228 is 684.
2. What are the Factors of 684?
Answer: Factors of 684 are . There are integers that are factors of 684
3. How to Find the LCM of 57, 36, 228 ?
Least Common Multiple of 57, 36, 228.
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(57, 36, 228) = 2 x 2 x 3 x 3 x 19 = 684.