Least Common Multiple of 408, 936, 741

Q: How to Find the LCM of 408, 936, 741 ?

Least Common Multiple of 408, 936, 741 = 302328 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(408, 936, 741) = 2 x 2 x 2 x 3 x 3 x 13 x 17 x 19 = 302328.

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 408, 936, 741 i.e. 302328 smallest integer divisible by all numbers.

Least common multiple (LCM) of 408, 936, 741 is 302328.

LCM(408, 936, 741) = 302328

LCM of 408, 936, 741

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

Least Common Multiple of 408, 936, 741 by common division method
Least Common Multiple of 408, 936, 741 with GCF Formula

Least Common Multiple of 408,936,741

Least Common Multiple (LCM) of 408,936,741 is 302328

2	408, 936, 741
2	204, 468, 741
2	102, 234, 741
3	51, 117, 741
13	17, 39, 247
	17, 3, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 17 x 3 x 19 = 302328

Least Common Multiple of 408,936,741 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 408,936,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,936,741) = 3

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

GCF(408,936,741) x common factors =3 x 312 = 936

LCM(408,936,741) = ( 408 × 936 × 741 ) / 936

LCM(408,936,741) = 282979008 / 936

LCM(408,936,741) = 302328

∴ Least Common Multiple of 408,936,741 is 302328

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 408, 936, 741

1. What is the LCM of 408, 936, 741?

Answer: LCM of 408, 936, 741 is 302328.

2. What are the Factors of 302328?

Answer: Factors of 302328 are . There are integers that are factors of 302328

3. How to Find the LCM of 408, 936, 741 ?

Least Common Multiple of 408, 936, 741.

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(408, 936, 741) = 2 x 2 x 2 x 3 x 3 x 13 x 17 x 19 = 302328.