Least Common Multiple of 865, 115, 345

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 865, 115, 345 i.e. 59685 smallest integer divisible by all numbers.

Least common multiple (LCM) of 865, 115, 345 is 59685.

LCM(865, 115, 345) = 59685

LCM of 865, 115, 345

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

LCM of:

Least Common Multiple of 865,115,345

Least Common Multiple (LCM) of 865,115,345 is 59685

5 865, 115, 345
23 173, 23, 69
173, 1, 3

∴ So the LCM of the given numbers is 5 x 23 x 173 x 1 x 3 = 59685

Least Common Multiple of 865,115,345 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 865,115,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,115,345) = 5

common factors(in case of two or more numbers have common factors) = 115

GCF(865,115,345) x common factors =5 x 115 = 575

LCM(865,115,345) = ( 865 × 115 × 345 ) / 575

LCM(865,115,345) = 34318875 / 575

LCM(865,115,345) = 59685

∴ Least Common Multiple of 865,115,345 is 59685

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 865, 115, 345

1. What is the LCM of 865, 115, 345?

Answer: LCM of 865, 115, 345 is 59685.

2. What are the Factors of 59685?

Answer: Factors of 59685 are . There are integers that are factors of 59685

3. How to Find the LCM of 865, 115, 345 ?

Least Common Multiple of 865, 115, 345.

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(865, 115, 345) = 3 x 5 x 23 x 173 = 59685.