Least Common Multiple of 60/168, 77/486, 751/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/168, 77/486, 751/118 quickly i.e. 1734810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/168, 77/486, 751/118 is 1734810.

LCM(60/168, 77/486, 751/118) = 1734810

LCM of 60/168, 77/486, 751/118

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 60/168,77/486,751/118

Given numbers are 60/168,77/486,751/118

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 60,77,751

Least Common Multiple of Numerators i.e. LCM of 60,77,751 is 3469620.

GCF of Denominators means GCF of 168,486,118 as per the given fractions.

GCF of 168,486,118 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,77,751

LCM of Fractions 60/168,77/486,751/118 is 1734810

Given numbers has no common factors except 1. So, there LCM is their product i.e 3469620

Least Common Multiple of 60,77,751 with GCF Formula

Least Common Multiple of 60,77,751 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 60,77,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,77,751) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(60,77,751) x common factors =1 x 1 = 1

LCM(60,77,751) = ( 60 × 77 × 751 ) / 1

LCM(60,77,751) = 3469620 / 1

LCM(60,77,751) = 3469620


Lets's calculate GCF of 168,486,118

2 168, 486, 118
84, 243, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3469620/2

Therefore the LCM of Fractions 60/168,77/486,751/118 is 1734810

Greatest Common Factor of 168,486,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,486,118 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 168,486,118 . The biggest common factor number is the GCF number.
So the greatest common factor 168,486,118 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 60/168, 77/486, 751/118

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 60/168, 77/486, 751/118?

Answer: LCM of Numerators as per given numbers 60/168, 77/486, 751/118 is

LCM of Numerators i.e. for 60,77,751 is 3469620

GCF of denominators i.e. for 168,486,118 is 2.

Thus, LCM of Fractions is 1734810.Finally, LCM of Fractions for 60/168, 77/486, 751/118 is 1734810.