Least Common Multiple of 77/60, 74/10, 871/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/60, 74/10, 871/119 quickly i.e. 4962958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/60, 74/10, 871/119 is 4962958.

LCM(77/60, 74/10, 871/119) = 4962958

LCM of 77/60, 74/10, 871/119

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 77/60,74/10,871/119

Given numbers are 77/60,74/10,871/119

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 77,74,871

Least Common Multiple of Numerators i.e. LCM of 77,74,871 is 4962958.

GCF of Denominators means GCF of 60,10,119 as per the given fractions.

GCF of 60,10,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,74,871

LCM of Fractions 77/60,74/10,871/119 is 4962958

Given numbers has no common factors except 1. So, there LCM is their product i.e 4962958

Least Common Multiple of 77,74,871 with GCF Formula

Least Common Multiple of 77,74,871 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 77,74,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,74,871) = 1

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

GCF(77,74,871) x common factors =1 x 1 = 1

LCM(77,74,871) = ( 77 × 74 × 871 ) / 1

LCM(77,74,871) = 4962958 / 1

LCM(77,74,871) = 4962958


Lets's calculate GCF of 60,10,119

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4962958/1

Therefore the LCM of Fractions 77/60,74/10,871/119 is 4962958

Greatest Common Factor of 60,10,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,10,119 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 60,10,119 . The biggest common factor number is the GCF number.
So the greatest common factor 60,10,119 is 1.


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 77/60, 74/10, 871/119

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 77/60, 74/10, 871/119?

Answer: LCM of Numerators as per given numbers 77/60, 74/10, 871/119 is

LCM of Numerators i.e. for 77,74,871 is 4962958

GCF of denominators i.e. for 60,10,119 is 1.

Thus, LCM of Fractions is 4962958.Finally, LCM of Fractions for 77/60, 74/10, 871/119 is 4962958.