Least Common Multiple of 498, 408, 349

Q: How to Find the LCM of 498, 408, 349 ?

Least Common Multiple of 498, 408, 349 = 11818536 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(498, 408, 349) = 2 x 2 x 2 x 3 x 17 x 83 x 349 = 11818536.

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 498, 408, 349 i.e. 11818536 smallest integer divisible by all numbers.

Least common multiple (LCM) of 498, 408, 349 is 11818536.

LCM(498, 408, 349) = 11818536

LCM of 498, 408, 349

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

Least Common Multiple of 498, 408, 349 by common division method
Least Common Multiple of 498, 408, 349 with GCF Formula

Least Common Multiple of 498,408,349

Least Common Multiple (LCM) of 498,408,349 is 11818536

2	498, 408, 349
3	249, 204, 349
	83, 68, 349

∴ So the LCM of the given numbers is 2 x 3 x 83 x 68 x 349 = 11818536

Least Common Multiple of 498,408,349 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 498,408,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,408,349) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(498,408,349) x common factors =1 x 6 = 6

LCM(498,408,349) = ( 498 × 408 × 349 ) / 6

LCM(498,408,349) = 70911216 / 6

LCM(498,408,349) = 11818536

∴ Least Common Multiple of 498,408,349 is 11818536

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 498, 408, 349

1. What is the LCM of 498, 408, 349?

Answer: LCM of 498, 408, 349 is 11818536.

2. What are the Factors of 11818536?

Answer: Factors of 11818536 are . There are integers that are factors of 11818536

3. How to Find the LCM of 498, 408, 349 ?

Least Common Multiple of 498, 408, 349.

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(498, 408, 349) = 2 x 2 x 2 x 3 x 17 x 83 x 349 = 11818536.