Least Common Multiple of 76/717, 96/453, 688/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/717, 96/453, 688/132 quickly i.e. 26144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/717, 96/453, 688/132 is 26144.

LCM(76/717, 96/453, 688/132) = 26144

LCM of 76/717, 96/453, 688/132

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 76/717,96/453,688/132

Given numbers are 76/717,96/453,688/132

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 76,96,688

Least Common Multiple of Numerators i.e. LCM of 76,96,688 is 78432.

GCF of Denominators means GCF of 717,453,132 as per the given fractions.

GCF of 717,453,132 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,96,688

LCM of Fractions 76/717,96/453,688/132 is 26144

2 76, 96, 688
2 38, 48, 344
2 19, 24, 172
2 19, 12, 86
19, 6, 43

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 6 x 43 = 78432

Least Common Multiple of 76,96,688 with GCF Formula

Least Common Multiple of 76,96,688 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 76,96,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,96,688) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(76,96,688) x common factors =4 x 16 = 64

LCM(76,96,688) = ( 76 × 96 × 688 ) / 64

LCM(76,96,688) = 5019648 / 64

LCM(76,96,688) = 78432


Lets's calculate GCF of 717,453,132

3 717, 453, 132
239, 151, 44

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78432/3

Therefore the LCM of Fractions 76/717,96/453,688/132 is 26144

Greatest Common Factor of 717,453,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,453,132 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 717,453,132 . The biggest common factor number is the GCF number.
So the greatest common factor 717,453,132 is 3.


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 76/717, 96/453, 688/132

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 76/717, 96/453, 688/132?

Answer: LCM of Numerators as per given numbers 76/717, 96/453, 688/132 is

LCM of Numerators i.e. for 76,96,688 is 78432

GCF of denominators i.e. for 717,453,132 is 3.

Thus, LCM of Fractions is 26144.Finally, LCM of Fractions for 76/717, 96/453, 688/132 is 26144.