Least Common Multiple of 54, 349, 698

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 54, 349, 698 i.e. 18846 smallest integer divisible by all numbers.

Least common multiple (LCM) of 54, 349, 698 is 18846.

LCM(54, 349, 698) = 18846

LCM of 54, 349, 698

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

LCM of:

Least Common Multiple of 54,349,698

Least Common Multiple (LCM) of 54,349,698 is 18846

2 54, 349, 698
349 27, 349, 349
27, 1, 1

∴ So the LCM of the given numbers is 2 x 349 x 27 x 1 x 1 = 18846

Least Common Multiple of 54,349,698 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 54,349,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,349,698) = 1

common factors(in case of two or more numbers have common factors) = 698

GCF(54,349,698) x common factors =1 x 698 = 698

LCM(54,349,698) = ( 54 × 349 × 698 ) / 698

LCM(54,349,698) = 13154508 / 698

LCM(54,349,698) = 18846

∴ Least Common Multiple of 54,349,698 is 18846

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 54, 349, 698

1. What is the LCM of 54, 349, 698?

Answer: LCM of 54, 349, 698 is 18846.

2. What are the Factors of 18846?

Answer: Factors of 18846 are . There are integers that are factors of 18846

3. How to Find the LCM of 54, 349, 698 ?

Least Common Multiple of 54, 349, 698.

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(54, 349, 698) = 2 x 3 x 3 x 3 x 349 = 18846.