Least Common Multiple of 855, 705, 105

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 855, 705, 105 i.e. 281295 smallest integer divisible by all numbers.

Least common multiple (LCM) of 855, 705, 105 is 281295.

LCM(855, 705, 105) = 281295

LCM of 855, 705, 105

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

LCM of:

Least Common Multiple of 855,705,105

Least Common Multiple (LCM) of 855,705,105 is 281295

3 855, 705, 105
5 285, 235, 35
57, 47, 7

∴ So the LCM of the given numbers is 3 x 5 x 57 x 47 x 7 = 281295

Least Common Multiple of 855,705,105 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 855,705,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,705,105) = 15

common factors(in case of two or more numbers have common factors) = 15

GCF(855,705,105) x common factors =15 x 15 = 225

LCM(855,705,105) = ( 855 × 705 × 105 ) / 225

LCM(855,705,105) = 63291375 / 225

LCM(855,705,105) = 281295

∴ Least Common Multiple of 855,705,105 is 281295

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 855, 705, 105

1. What is the LCM of 855, 705, 105?

Answer: LCM of 855, 705, 105 is 281295.

2. What are the Factors of 281295?

Answer: Factors of 281295 are . There are integers that are factors of 281295

3. How to Find the LCM of 855, 705, 105 ?

Least Common Multiple of 855, 705, 105.

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(855, 705, 105) = 3 x 3 x 5 x 7 x 19 x 47 = 281295.