Least Common Multiple of 68/958, 36/988, 716/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/958, 36/988, 716/724 quickly i.e. 54774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/958, 36/988, 716/724 is 54774.

LCM(68/958, 36/988, 716/724) = 54774

LCM of 68/958, 36/988, 716/724

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 68/958,36/988,716/724

Given numbers are 68/958,36/988,716/724

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 68,36,716

Least Common Multiple of Numerators i.e. LCM of 68,36,716 is 109548.

GCF of Denominators means GCF of 958,988,724 as per the given fractions.

GCF of 958,988,724 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,36,716

LCM of Fractions 68/958,36/988,716/724 is 54774

2 68, 36, 716
2 34, 18, 358
17, 9, 179

∴ So the LCM of the given numbers is 2 x 2 x 17 x 9 x 179 = 109548

Least Common Multiple of 68,36,716 with GCF Formula

Least Common Multiple of 68,36,716 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 68,36,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,36,716) = 4

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

GCF(68,36,716) x common factors =4 x 4 = 16

LCM(68,36,716) = ( 68 × 36 × 716 ) / 16

LCM(68,36,716) = 1752768 / 16

LCM(68,36,716) = 109548


Lets's calculate GCF of 958,988,724

2 958, 988, 724
479, 494, 362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109548/2

Therefore the LCM of Fractions 68/958,36/988,716/724 is 54774

Greatest Common Factor of 958,988,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,988,724 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

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

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 958,988,724 . The biggest common factor number is the GCF number.
So the greatest common factor 958,988,724 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 68/958, 36/988, 716/724

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 68/958, 36/988, 716/724?

Answer: LCM of Numerators as per given numbers 68/958, 36/988, 716/724 is

LCM of Numerators i.e. for 68,36,716 is 109548

GCF of denominators i.e. for 958,988,724 is 2.

Thus, LCM of Fractions is 54774.Finally, LCM of Fractions for 68/958, 36/988, 716/724 is 54774.