Least Common Multiple of 69, 687, 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 69, 687, 345 i.e. 79005 smallest integer divisible by all numbers.

Least common multiple (LCM) of 69, 687, 345 is 79005.

LCM(69, 687, 345) = 79005

LCM of 69, 687, 345

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

LCM of:

Least Common Multiple of 69,687,345

Least Common Multiple (LCM) of 69,687,345 is 79005

3 69, 687, 345
23 23, 229, 115
1, 229, 5

∴ So the LCM of the given numbers is 3 x 23 x 1 x 229 x 5 = 79005

Least Common Multiple of 69,687,345 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 69,687,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,687,345) = 3

common factors(in case of two or more numbers have common factors) = 69

GCF(69,687,345) x common factors =3 x 69 = 207

LCM(69,687,345) = ( 69 × 687 × 345 ) / 207

LCM(69,687,345) = 16354035 / 207

LCM(69,687,345) = 79005

∴ Least Common Multiple of 69,687,345 is 79005

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 69, 687, 345

1. What is the LCM of 69, 687, 345?

Answer: LCM of 69, 687, 345 is 79005.

2. What are the Factors of 79005?

Answer: Factors of 79005 are . There are integers that are factors of 79005

3. How to Find the LCM of 69, 687, 345 ?

Least Common Multiple of 69, 687, 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(69, 687, 345) = 3 x 5 x 23 x 229 = 79005.