Least Common Multiple of 117, 705, 52

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 117, 705, 52 i.e. 109980 smallest integer divisible by all numbers.

Least common multiple (LCM) of 117, 705, 52 is 109980.

LCM(117, 705, 52) = 109980

LCM of 117, 705, 52

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 117,705,52

Least Common Multiple (LCM) of 117,705,52 is 109980

3 117, 705, 52
13 39, 235, 52
3, 235, 4

∴ So the LCM of the given numbers is 3 x 13 x 3 x 235 x 4 = 109980

Least Common Multiple of 117,705,52 with GCF Formula

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 117,705,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,705,52) = 1

common factors(in case of two or more numbers have common factors) = 39

GCF(117,705,52) x common factors =1 x 39 = 39

LCM(117,705,52) = ( 117 × 705 × 52 ) / 39

LCM(117,705,52) = 4289220 / 39

LCM(117,705,52) = 109980

∴ Least Common Multiple of 117,705,52 is 109980

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 117, 705, 52

1. What is the LCM of 117, 705, 52?

Answer: LCM of 117, 705, 52 is 109980.

2. What are the Factors of 109980?

Answer: Factors of 109980 are . There are integers that are factors of 109980

3. How to Find the LCM of 117, 705, 52 ?

Least Common Multiple of 117, 705, 52.

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(117, 705, 52) = 2 x 2 x 3 x 3 x 5 x 13 x 47 = 109980.