Least Common Multiple of 123, 369, 29
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, 369, 29 i.e. 10701 smallest integer divisible by all numbers.
Least common multiple (LCM) of 123, 369, 29 is 10701.
LCM(123, 369, 29) = 10701
LCM of 123, 369, 29
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 123, 369, 29 by common division method
- Least Common Multiple of 123, 369, 29 with GCF Formula
Least Common Multiple (LCM) of 123,369,29 is 10701
| 3 | 123, 369, 29 |
| 41 | 41, 123, 29 |
| 1, 3, 29 |
∴ So the LCM of the given numbers is 3 x 41 x 1 x 3 x 29 = 10701
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 123,369,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,369,29) = 1
common factors(in case of two or more numbers have common factors) = 123
GCF(123,369,29) x common factors =1 x 123 = 123
LCM(123,369,29) = ( 123 × 369 × 29 ) / 123
LCM(123,369,29) = 1316223 / 123
LCM(123,369,29) = 10701
∴ Least Common Multiple of 123,369,29 is 10701
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Frequently Asked Questions on LCM of 123, 369, 29
1. What is the LCM of 123, 369, 29?
Answer: LCM of 123, 369, 29 is 10701.
2. What are the Factors of 10701?
Answer: Factors of 10701 are . There are integers that are factors of 10701
3. How to Find the LCM of 123, 369, 29 ?
Least Common Multiple of 123, 369, 29.
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, 369, 29) = 3 x 3 x 29 x 41 = 10701.