Least Common Multiple of 12/696, 557/126, 908/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/696, 557/126, 908/988 quickly i.e. 758634 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/696, 557/126, 908/988 is 758634.

LCM(12/696, 557/126, 908/988) = 758634

LCM of 12/696, 557/126, 908/988

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 12/696,557/126,908/988

Given numbers are 12/696,557/126,908/988

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 12,557,908

Least Common Multiple of Numerators i.e. LCM of 12,557,908 is 1517268.

GCF of Denominators means GCF of 696,126,988 as per the given fractions.

GCF of 696,126,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,557,908

LCM of Fractions 12/696,557/126,908/988 is 758634

2 12, 557, 908
2 6, 557, 454
3, 557, 227

∴ So the LCM of the given numbers is 2 x 2 x 3 x 557 x 227 = 1517268

Least Common Multiple of 12,557,908 with GCF Formula

Least Common Multiple of 12,557,908 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 12,557,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,557,908) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(12,557,908) x common factors =1 x 4 = 4

LCM(12,557,908) = ( 12 × 557 × 908 ) / 4

LCM(12,557,908) = 6069072 / 4

LCM(12,557,908) = 1517268


Lets's calculate GCF of 696,126,988

2 696, 126, 988
348, 63, 494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1517268/2

Therefore the LCM of Fractions 12/696,557/126,908/988 is 758634

Greatest Common Factor of 696,126,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,126,988 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 696,126,988 . The biggest common factor number is the GCF number.
So the greatest common factor 696,126,988 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 12/696, 557/126, 908/988

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 12/696, 557/126, 908/988?

Answer: LCM of Numerators as per given numbers 12/696, 557/126, 908/988 is

LCM of Numerators i.e. for 12,557,908 is 1517268

GCF of denominators i.e. for 696,126,988 is 2.

Thus, LCM of Fractions is 758634.Finally, LCM of Fractions for 12/696, 557/126, 908/988 is 758634.