Least Common Multiple of 450, 34, 748, 424

Q: How to Find the LCM of 450, 34, 748, 424 ?

Least Common Multiple of 450, 34, 748, 424 = 17839800 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(450, 34, 748, 424) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 17 x 53 = 17839800.

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 450, 34, 748, 424 i.e. 17839800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 450, 34, 748, 424 is 17839800.

LCM(450, 34, 748, 424) = 17839800

LCM of 450, 34, 748, 424

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

Least Common Multiple of 450, 34, 748, 424 by common division method
Least Common Multiple of 450, 34, 748, 424 with GCF Formula

Least Common Multiple of 450,34,748,424

Least Common Multiple (LCM) of 450,34,748,424 is 17839800

2	450, 34, 748, 424
2	225, 17, 374, 212
17	225, 17, 187, 106
	225, 1, 11, 106

∴ So the LCM of the given numbers is 2 x 2 x 17 x 225 x 1 x 11 x 106 = 17839800

Least Common Multiple of 450,34,748,424 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 450,34,748,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,34,748,424) = 2

common factors(in case of two or more numbers have common factors) = 136

GCF(450,34,748,424) x common factors =2 x 136 = 272

LCM(450,34,748,424) = ( 450 × 34 × 748 × 424 ) / 272

LCM(450,34,748,424) = 4852425600 / 272

LCM(450,34,748,424) = 17839800

∴ Least Common Multiple of 450,34,748,424 is 17839800

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 450, 34, 748, 424

1. What is the LCM of 450, 34, 748, 424?

Answer: LCM of 450, 34, 748, 424 is 17839800.

2. What are the Factors of 17839800?

Answer: Factors of 17839800 are . There are integers that are factors of 17839800

3. How to Find the LCM of 450, 34, 748, 424 ?

Least Common Multiple of 450, 34, 748, 424.

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(450, 34, 748, 424) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 11 x 17 x 53 = 17839800.