Least Common Multiple of 69, 45, 317, 370

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, 45, 317, 370 i.e. 24279030 smallest integer divisible by all numbers.

Least common multiple (LCM) of 69, 45, 317, 370 is 24279030.

LCM(69, 45, 317, 370) = 24279030

LCM of 69, 45, 317, 370

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

LCM of:

Least Common Multiple of 69,45,317,370

Least Common Multiple (LCM) of 69,45,317,370 is 24279030

3 69, 45, 317, 370
5 23, 15, 317, 370
23, 3, 317, 74

∴ So the LCM of the given numbers is 3 x 5 x 23 x 3 x 317 x 74 = 24279030

Least Common Multiple of 69,45,317,370 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 69,45,317,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,45,317,370) = 1

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

GCF(69,45,317,370) x common factors =1 x 15 = 15

LCM(69,45,317,370) = ( 69 × 45 × 317 × 370 ) / 15

LCM(69,45,317,370) = 364185450 / 15

LCM(69,45,317,370) = 24279030

∴ Least Common Multiple of 69,45,317,370 is 24279030

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 69, 45, 317, 370

1. What is the LCM of 69, 45, 317, 370?

Answer: LCM of 69, 45, 317, 370 is 24279030.

2. What are the Factors of 24279030?

Answer: Factors of 24279030 are . There are integers that are factors of 24279030

3. How to Find the LCM of 69, 45, 317, 370 ?

Least Common Multiple of 69, 45, 317, 370.

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, 45, 317, 370) = 2 x 3 x 3 x 5 x 23 x 37 x 317 = 24279030.