Least Common Multiple of 458, 380, 735, 749, 498

Q: How to Find the LCM of 458, 380, 735, 749, 498 ?

Least Common Multiple of 458, 380, 735, 749, 498 = 113605219140 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(458, 380, 735, 749, 498) = 2 x 2 x 3 x 5 x 7 x 7 x 19 x 83 x 107 x 229 = 113605219140.

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 458, 380, 735, 749, 498 i.e. 113605219140 smallest integer divisible by all numbers.

Least common multiple (LCM) of 458, 380, 735, 749, 498 is 113605219140.

LCM(458, 380, 735, 749, 498) = 113605219140

LCM of 458, 380, 735, 749, 498

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

Least Common Multiple of 458, 380, 735, 749, 498 by common division method
Least Common Multiple of 458, 380, 735, 749, 498 with GCF Formula

Least Common Multiple of 458,380,735,749,498

Least Common Multiple (LCM) of 458,380,735,749,498 is 113605219140

2	458, 380, 735, 749, 498
3	229, 190, 735, 749, 249
5	229, 190, 245, 749, 83
7	229, 38, 49, 749, 83
	229, 38, 7, 107, 83

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 229 x 38 x 7 x 107 x 83 = 113605219140

Least Common Multiple of 458,380,735,749,498 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 458,380,735,749,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,380,735,749,498) = 1

common factors(in case of two or more numbers have common factors) = 420

GCF(458,380,735,749,498) x common factors =1 x 420 = 420

LCM(458,380,735,749,498) = ( 458 × 380 × 735 × 749 × 498 ) / 420

LCM(458,380,735,749,498) = 47714192038800 / 420

LCM(458,380,735,749,498) = 113605219140

∴ Least Common Multiple of 458,380,735,749,498 is 113605219140

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 458, 380, 735, 749, 498

1. What is the LCM of 458, 380, 735, 749, 498?

Answer: LCM of 458, 380, 735, 749, 498 is 113605219140.

2. What are the Factors of 113605219140?

Answer: Factors of 113605219140 are . There are integers that are factors of 113605219140

3. How to Find the LCM of 458, 380, 735, 749, 498 ?

Least Common Multiple of 458, 380, 735, 749, 498.

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(458, 380, 735, 749, 498) = 2 x 2 x 3 x 5 x 7 x 7 x 19 x 83 x 107 x 229 = 113605219140.