Least Common Multiple of 52, 45, 117
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 52, 45, 117 i.e. 2340 smallest integer divisible by all numbers.
Least common multiple (LCM) of 52, 45, 117 is 2340.
LCM(52, 45, 117) = 2340
LCM of 52, 45, 117
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 52, 45, 117 by common division method
- Least Common Multiple of 52, 45, 117 with GCF Formula
Least Common Multiple (LCM) of 52,45,117 is 2340
| 3 | 52, 45, 117 |
| 3 | 52, 15, 39 |
| 13 | 52, 5, 13 |
| 4, 5, 1 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 4 x 5 x 1 = 2340
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 52,45,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,45,117) = 1
common factors(in case of two or more numbers have common factors) = 117
GCF(52,45,117) x common factors =1 x 117 = 117
LCM(52,45,117) = ( 52 × 45 × 117 ) / 117
LCM(52,45,117) = 273780 / 117
LCM(52,45,117) = 2340
∴ Least Common Multiple of 52,45,117 is 2340
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 52, 45, 117
1. What is the LCM of 52, 45, 117?
Answer: LCM of 52, 45, 117 is 2340.
2. What are the Factors of 2340?
Answer: Factors of 2340 are . There are integers that are factors of 2340
3. How to Find the LCM of 52, 45, 117 ?
Least Common Multiple of 52, 45, 117.
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(52, 45, 117) = 2 x 2 x 3 x 3 x 5 x 13 = 2340.