Least Common Multiple of 123, 564
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 123, 564 i.e. 23124 smallest integer divisible by all numbers.
Least common multiple (LCM) of 123, 564 is 23124.
LCM(123, 564) = 23124
LCM of 123, 564
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 123, 564 by common division method
- Least Common Multiple of 123, 564 with GCF Formula
Least Common Multiple (LCM) of 123,564 is 23124
| 3 | 123, 564 |
| 41, 188 |
∴ So the LCM of the given numbers is 3 x 41 x 188 = 23124
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 123,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,564) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,564) x common factors =3 x 1 = 3
LCM(123,564) = ( 123 × 564 ) / 3
LCM(123,564) = 69372 / 3
LCM(123,564) = 23124
∴ Least Common Multiple of 123,564 is 23124
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 123, 564
1. What is the LCM of 123, 564?
Answer: LCM of 123, 564 is 23124.
2. What are the Factors of 23124?
Answer: Factors of 23124 are . There are integers that are factors of 23124
3. How to Find the LCM of 123, 564 ?
Least Common Multiple of 123, 564.
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(123, 564) = 2 x 2 x 3 x 41 x 47 = 23124.