Least Common Multiple of 123, 732
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, 732 i.e. 30012 smallest integer divisible by all numbers.
Least common multiple (LCM) of 123, 732 is 30012.
LCM(123, 732) = 30012
LCM of 123, 732
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 123, 732 by common division method
- Least Common Multiple of 123, 732 with GCF Formula
Least Common Multiple (LCM) of 123,732 is 30012
| 3 | 123, 732 |
| 41, 244 |
∴ So the LCM of the given numbers is 3 x 41 x 244 = 30012
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 123,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,732) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,732) x common factors =3 x 1 = 3
LCM(123,732) = ( 123 × 732 ) / 3
LCM(123,732) = 90036 / 3
LCM(123,732) = 30012
∴ Least Common Multiple of 123,732 is 30012
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 123, 732
1. What is the LCM of 123, 732?
Answer: LCM of 123, 732 is 30012.
2. What are the Factors of 30012?
Answer: Factors of 30012 are . There are integers that are factors of 30012
3. How to Find the LCM of 123, 732 ?
Least Common Multiple of 123, 732.
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, 732) = 2 x 2 x 3 x 41 x 61 = 30012.