Least Common Multiple of 315, 585, 375

Q: How to Find the LCM of 315, 585, 375 ?

Least Common Multiple of 315, 585, 375 = 102375 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(315, 585, 375) = 3 x 3 x 5 x 5 x 5 x 7 x 13 = 102375.

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 315, 585, 375 i.e. 102375 smallest integer divisible by all numbers.

Least common multiple (LCM) of 315, 585, 375 is 102375.

LCM(315, 585, 375) = 102375

LCM of 315, 585, 375

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

Least Common Multiple of 315, 585, 375 by common division method
Least Common Multiple of 315, 585, 375 with GCF Formula

Least Common Multiple of 315,585,375

Least Common Multiple (LCM) of 315,585,375 is 102375

3	315, 585, 375
3	105, 195, 125
5	35, 65, 125
	7, 13, 25

∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 13 x 25 = 102375

Least Common Multiple of 315,585,375 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 315,585,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,585,375) = 15

common factors(in case of two or more numbers have common factors) = 45

GCF(315,585,375) x common factors =15 x 45 = 675

LCM(315,585,375) = ( 315 × 585 × 375 ) / 675

LCM(315,585,375) = 69103125 / 675

LCM(315,585,375) = 102375

∴ Least Common Multiple of 315,585,375 is 102375

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 315, 585, 375

1. What is the LCM of 315, 585, 375?

Answer: LCM of 315, 585, 375 is 102375.

2. What are the Factors of 102375?

Answer: Factors of 102375 are . There are integers that are factors of 102375

3. How to Find the LCM of 315, 585, 375 ?

Least Common Multiple of 315, 585, 375.

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(315, 585, 375) = 3 x 3 x 5 x 5 x 5 x 7 x 13 = 102375.