Least Common Multiple of 874, 872, 109

Q: How to Find the LCM of 874, 872, 109 ?

Least Common Multiple of 874, 872, 109 = 381064 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(874, 872, 109) = 2 x 2 x 2 x 19 x 23 x 109 = 381064.

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 874, 872, 109 i.e. 381064 smallest integer divisible by all numbers.

Least common multiple (LCM) of 874, 872, 109 is 381064.

LCM(874, 872, 109) = 381064

LCM of 874, 872, 109

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

Least Common Multiple of 874, 872, 109 by common division method
Least Common Multiple of 874, 872, 109 with GCF Formula

Least Common Multiple of 874,872,109

Least Common Multiple (LCM) of 874,872,109 is 381064

2	874, 872, 109
109	437, 436, 109
	437, 4, 1

∴ So the LCM of the given numbers is 2 x 109 x 437 x 4 x 1 = 381064

Least Common Multiple of 874,872,109 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 874,872,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,872,109) = 1

common factors(in case of two or more numbers have common factors) = 218

GCF(874,872,109) x common factors =1 x 218 = 218

LCM(874,872,109) = ( 874 × 872 × 109 ) / 218

LCM(874,872,109) = 83071952 / 218

LCM(874,872,109) = 381064

∴ Least Common Multiple of 874,872,109 is 381064

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 874, 872, 109

1. What is the LCM of 874, 872, 109?

Answer: LCM of 874, 872, 109 is 381064.

2. What are the Factors of 381064?

Answer: Factors of 381064 are . There are integers that are factors of 381064

3. How to Find the LCM of 874, 872, 109 ?

Least Common Multiple of 874, 872, 109.

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(874, 872, 109) = 2 x 2 x 2 x 19 x 23 x 109 = 381064.