Least Common Multiple of 384, 389, 424, 821, 742

Q: How to Find the LCM of 384, 389, 424, 821, 742 ?

Least Common Multiple of 384, 389, 424, 821, 742 = 45498585216 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(384, 389, 424, 821, 742) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 53 x 389 x 821 = 45498585216.

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 384, 389, 424, 821, 742 i.e. 45498585216 smallest integer divisible by all numbers.

Least common multiple (LCM) of 384, 389, 424, 821, 742 is 45498585216.

LCM(384, 389, 424, 821, 742) = 45498585216

LCM of 384, 389, 424, 821, 742

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

Least Common Multiple of 384, 389, 424, 821, 742 by common division method
Least Common Multiple of 384, 389, 424, 821, 742 with GCF Formula

Least Common Multiple of 384,389,424,821,742

Least Common Multiple (LCM) of 384,389,424,821,742 is 45498585216

2	384, 389, 424, 821, 742
2	192, 389, 212, 821, 371
2	96, 389, 106, 821, 371
53	48, 389, 53, 821, 371
	48, 389, 1, 821, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 48 x 389 x 1 x 821 x 7 = 45498585216

Least Common Multiple of 384,389,424,821,742 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 384,389,424,821,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,389,424,821,742) = 1

common factors(in case of two or more numbers have common factors) = 848

GCF(384,389,424,821,742) x common factors =1 x 848 = 848

LCM(384,389,424,821,742) = ( 384 × 389 × 424 × 821 × 742 ) / 848

LCM(384,389,424,821,742) = 38582800263168 / 848

LCM(384,389,424,821,742) = 45498585216

∴ Least Common Multiple of 384,389,424,821,742 is 45498585216

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 384, 389, 424, 821, 742

1. What is the LCM of 384, 389, 424, 821, 742?

Answer: LCM of 384, 389, 424, 821, 742 is 45498585216.

2. What are the Factors of 45498585216?

Answer: Factors of 45498585216 are . There are integers that are factors of 45498585216

3. How to Find the LCM of 384, 389, 424, 821, 742 ?

Least Common Multiple of 384, 389, 424, 821, 742.

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(384, 389, 424, 821, 742) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 53 x 389 x 821 = 45498585216.