Least Common Multiple of 66/716, 714/760, 182/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/716, 714/760, 182/122 quickly i.e. 51051 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/716, 714/760, 182/122 is 51051.

LCM(66/716, 714/760, 182/122) = 51051

LCM of 66/716, 714/760, 182/122

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 66/716,714/760,182/122

Given numbers are 66/716,714/760,182/122

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 66,714,182

Least Common Multiple of Numerators i.e. LCM of 66,714,182 is 102102.

GCF of Denominators means GCF of 716,760,122 as per the given fractions.

GCF of 716,760,122 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,714,182

LCM of Fractions 66/716,714/760,182/122 is 51051

2 66, 714, 182
3 33, 357, 91
7 11, 119, 91
11, 17, 13

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 17 x 13 = 102102

Least Common Multiple of 66,714,182 with GCF Formula

Least Common Multiple of 66,714,182 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 66,714,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,714,182) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(66,714,182) x common factors =2 x 42 = 84

LCM(66,714,182) = ( 66 × 714 × 182 ) / 84

LCM(66,714,182) = 8576568 / 84

LCM(66,714,182) = 102102


Lets's calculate GCF of 716,760,122

2 716, 760, 122
358, 380, 61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102102/2

Therefore the LCM of Fractions 66/716,714/760,182/122 is 51051

Greatest Common Factor of 716,760,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,760,122 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 716,760,122 . The biggest common factor number is the GCF number.
So the greatest common factor 716,760,122 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 66/716, 714/760, 182/122

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 66/716, 714/760, 182/122?

Answer: LCM of Numerators as per given numbers 66/716, 714/760, 182/122 is

LCM of Numerators i.e. for 66,714,182 is 102102

GCF of denominators i.e. for 716,760,122 is 2.

Thus, LCM of Fractions is 51051.Finally, LCM of Fractions for 66/716, 714/760, 182/122 is 51051.