Least Common Multiple of 123, 429
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, 429 i.e. 17589 smallest integer divisible by all numbers.
Least common multiple (LCM) of 123, 429 is 17589.
LCM(123, 429) = 17589
LCM of 123, 429
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 123, 429 by common division method
- Least Common Multiple of 123, 429 with GCF Formula
Least Common Multiple (LCM) of 123,429 is 17589
| 3 | 123, 429 |
| 41, 143 |
∴ So the LCM of the given numbers is 3 x 41 x 143 = 17589
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 123,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,429) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,429) x common factors =3 x 1 = 3
LCM(123,429) = ( 123 × 429 ) / 3
LCM(123,429) = 52767 / 3
LCM(123,429) = 17589
∴ Least Common Multiple of 123,429 is 17589
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 123, 429
1. What is the LCM of 123, 429?
Answer: LCM of 123, 429 is 17589.
2. What are the Factors of 17589?
Answer: Factors of 17589 are . There are integers that are factors of 17589
3. How to Find the LCM of 123, 429 ?
Least Common Multiple of 123, 429.
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, 429) = 3 x 11 x 13 x 41 = 17589.