Least Common Multiple of 416, 678, 936

Q: How to Find the LCM of 416, 678, 936 ?

Least Common Multiple of 416, 678, 936 = 423072 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(416, 678, 936) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 113 = 423072.

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 416, 678, 936 i.e. 423072 smallest integer divisible by all numbers.

Least common multiple (LCM) of 416, 678, 936 is 423072.

LCM(416, 678, 936) = 423072

LCM of 416, 678, 936

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

Least Common Multiple of 416, 678, 936 by common division method
Least Common Multiple of 416, 678, 936 with GCF Formula

Least Common Multiple of 416,678,936

Least Common Multiple (LCM) of 416,678,936 is 423072

2	416, 678, 936
2	208, 339, 468
2	104, 339, 234
3	52, 339, 117
13	52, 113, 39
	4, 113, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 4 x 113 x 3 = 423072

Least Common Multiple of 416,678,936 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 416,678,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,678,936) = 2

common factors(in case of two or more numbers have common factors) = 312

GCF(416,678,936) x common factors =2 x 312 = 624

LCM(416,678,936) = ( 416 × 678 × 936 ) / 624

LCM(416,678,936) = 263996928 / 624

LCM(416,678,936) = 423072

∴ Least Common Multiple of 416,678,936 is 423072

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 416, 678, 936

1. What is the LCM of 416, 678, 936?

Answer: LCM of 416, 678, 936 is 423072.

2. What are the Factors of 423072?

Answer: Factors of 423072 are . There are integers that are factors of 423072

3. How to Find the LCM of 416, 678, 936 ?

Least Common Multiple of 416, 678, 936.

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(416, 678, 936) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 113 = 423072.