Least Common Multiple of 361, 375, 867

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 361, 375, 867 i.e. 39123375 smallest integer divisible by all numbers.

Least common multiple (LCM) of 361, 375, 867 is 39123375.

LCM(361, 375, 867) = 39123375

LCM of 361, 375, 867

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

LCM of:

Least Common Multiple of 361,375,867

Least Common Multiple (LCM) of 361,375,867 is 39123375

3 361, 375, 867
361, 125, 289

∴ So the LCM of the given numbers is 3 x 361 x 125 x 289 = 39123375

Least Common Multiple of 361,375,867 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 361,375,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,375,867) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(361,375,867) x common factors =1 x 3 = 3

LCM(361,375,867) = ( 361 × 375 × 867 ) / 3

LCM(361,375,867) = 117370125 / 3

LCM(361,375,867) = 39123375

∴ Least Common Multiple of 361,375,867 is 39123375

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 361, 375, 867

1. What is the LCM of 361, 375, 867?

Answer: LCM of 361, 375, 867 is 39123375.

2. What are the Factors of 39123375?

Answer: Factors of 39123375 are . There are integers that are factors of 39123375

3. How to Find the LCM of 361, 375, 867 ?

Least Common Multiple of 361, 375, 867.

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(361, 375, 867) = 3 x 5 x 5 x 5 x 17 x 17 x 19 x 19 = 39123375.