Least Common Multiple of 249/786, 646/116, 494/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 249/786, 646/116, 494/676 quickly i.e. 1045551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 249/786, 646/116, 494/676 is 1045551.

LCM(249/786, 646/116, 494/676) = 1045551

LCM of 249/786, 646/116, 494/676

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 249/786,646/116,494/676

Given numbers are 249/786,646/116,494/676

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 249,646,494

Least Common Multiple of Numerators i.e. LCM of 249,646,494 is 2091102.

GCF of Denominators means GCF of 786,116,676 as per the given fractions.

GCF of 786,116,676 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 249,646,494

LCM of Fractions 249/786,646/116,494/676 is 1045551

2 249, 646, 494
19 249, 323, 247
249, 17, 13

∴ So the LCM of the given numbers is 2 x 19 x 249 x 17 x 13 = 2091102

Least Common Multiple of 249,646,494 with GCF Formula

Least Common Multiple of 249,646,494 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 249,646,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(249,646,494) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(249,646,494) x common factors =1 x 38 = 38

LCM(249,646,494) = ( 249 × 646 × 494 ) / 38

LCM(249,646,494) = 79461876 / 38

LCM(249,646,494) = 2091102


Lets's calculate GCF of 786,116,676

2 786, 116, 676
393, 58, 338

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2091102/2

Therefore the LCM of Fractions 249/786,646/116,494/676 is 1045551

Greatest Common Factor of 786,116,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,116,676 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 786,116,676 . The biggest common factor number is the GCF number.
So the greatest common factor 786,116,676 is 2.


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 249/786, 646/116, 494/676

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 249/786, 646/116, 494/676?

Answer: LCM of Numerators as per given numbers 249/786, 646/116, 494/676 is

LCM of Numerators i.e. for 249,646,494 is 2091102

GCF of denominators i.e. for 786,116,676 is 2.

Thus, LCM of Fractions is 1045551.Finally, LCM of Fractions for 249/786, 646/116, 494/676 is 1045551.