Least Common Multiple of 24, 39, 104
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 24, 39, 104 i.e. 312 smallest integer divisible by all numbers.
Least common multiple (LCM) of 24, 39, 104 is 312.
LCM(24, 39, 104) = 312
LCM of 24, 39, 104
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 24, 39, 104 by common division method
- Least Common Multiple of 24, 39, 104 with GCF Formula
Least Common Multiple (LCM) of 24,39,104 is 312
| 2 | 24, 39, 104 |
| 2 | 12, 39, 52 |
| 2 | 6, 39, 26 |
| 3 | 3, 39, 13 |
| 13 | 1, 13, 13 |
| 1, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 1 x 1 x 1 = 312
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 24,39,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,39,104) = 1
common factors(in case of two or more numbers have common factors) = 312
GCF(24,39,104) x common factors =1 x 312 = 312
LCM(24,39,104) = ( 24 × 39 × 104 ) / 312
LCM(24,39,104) = 97344 / 312
LCM(24,39,104) = 312
∴ Least Common Multiple of 24,39,104 is 312
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 24, 39, 104
1. What is the LCM of 24, 39, 104?
Answer: LCM of 24, 39, 104 is 312.
2. What are the Factors of 312?
Answer: Factors of 312 are . There are integers that are factors of 312
3. How to Find the LCM of 24, 39, 104 ?
Least Common Multiple of 24, 39, 104.
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(24, 39, 104) = 2 x 2 x 2 x 3 x 13 = 312.