Least Common Multiple of 871, 312, 17

Q: How to Find the LCM of 871, 312, 17 ?

Least Common Multiple of 871, 312, 17 = 355368 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(871, 312, 17) = 2 x 2 x 2 x 3 x 13 x 17 x 67 = 355368.

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 871, 312, 17 i.e. 355368 smallest integer divisible by all numbers.

Least common multiple (LCM) of 871, 312, 17 is 355368.

LCM(871, 312, 17) = 355368

LCM of 871, 312, 17

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

Least Common Multiple of 871, 312, 17 by common division method
Least Common Multiple of 871, 312, 17 with GCF Formula

Least Common Multiple of 871,312,17

Least Common Multiple (LCM) of 871,312,17 is 355368

13	871, 312, 17
	67, 24, 17

∴ So the LCM of the given numbers is 13 x 67 x 24 x 17 = 355368

Least Common Multiple of 871,312,17 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 871,312,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,312,17) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(871,312,17) x common factors =1 x 13 = 13

LCM(871,312,17) = ( 871 × 312 × 17 ) / 13

LCM(871,312,17) = 4619784 / 13

LCM(871,312,17) = 355368

∴ Least Common Multiple of 871,312,17 is 355368

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 871, 312, 17

1. What is the LCM of 871, 312, 17?

Answer: LCM of 871, 312, 17 is 355368.

2. What are the Factors of 355368?

Answer: Factors of 355368 are . There are integers that are factors of 355368

3. How to Find the LCM of 871, 312, 17 ?

Least Common Multiple of 871, 312, 17.

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(871, 312, 17) = 2 x 2 x 2 x 3 x 13 x 17 x 67 = 355368.