Least Common Multiple of 612/666, 337/552, 249/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 612/666, 337/552, 249/498 quickly i.e. 2853042 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 612/666, 337/552, 249/498 is 2853042.

LCM(612/666, 337/552, 249/498) = 2853042

LCM of 612/666, 337/552, 249/498

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 612/666,337/552,249/498

Given numbers are 612/666,337/552,249/498

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 612,337,249

Least Common Multiple of Numerators i.e. LCM of 612,337,249 is 17118252.

GCF of Denominators means GCF of 666,552,498 as per the given fractions.

GCF of 666,552,498 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 612,337,249

LCM of Fractions 612/666,337/552,249/498 is 2853042

3 612, 337, 249
204, 337, 83

∴ So the LCM of the given numbers is 3 x 204 x 337 x 83 = 17118252

Least Common Multiple of 612,337,249 with GCF Formula

Least Common Multiple of 612,337,249 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 612,337,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,337,249) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(612,337,249) x common factors =1 x 3 = 3

LCM(612,337,249) = ( 612 × 337 × 249 ) / 3

LCM(612,337,249) = 51354756 / 3

LCM(612,337,249) = 17118252


Lets's calculate GCF of 666,552,498

2 666, 552, 498
3 333, 276, 249
111, 92, 83

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17118252/6

Therefore the LCM of Fractions 612/666,337/552,249/498 is 2853042

Greatest Common Factor of 666,552,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,552,498 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 666,552,498 . The biggest common factor number is the GCF number.
So the greatest common factor 666,552,498 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 612/666, 337/552, 249/498

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 612/666, 337/552, 249/498?

Answer: LCM of Numerators as per given numbers 612/666, 337/552, 249/498 is

LCM of Numerators i.e. for 612,337,249 is 17118252

GCF of denominators i.e. for 666,552,498 is 6.

Thus, LCM of Fractions is 2853042.Finally, LCM of Fractions for 612/666, 337/552, 249/498 is 2853042.