Least Common Multiple of 77/510, 310/85, 791/878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/510, 310/85, 791/878 quickly i.e. 2697310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/510, 310/85, 791/878 is 2697310.

LCM(77/510, 310/85, 791/878) = 2697310

LCM of 77/510, 310/85, 791/878

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 77/510,310/85,791/878

Given numbers are 77/510,310/85,791/878

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 77,310,791

Least Common Multiple of Numerators i.e. LCM of 77,310,791 is 2697310.

GCF of Denominators means GCF of 510,85,878 as per the given fractions.

GCF of 510,85,878 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,310,791

LCM of Fractions 77/510,310/85,791/878 is 2697310

7 77, 310, 791
11, 310, 113

∴ So the LCM of the given numbers is 7 x 11 x 310 x 113 = 2697310

Least Common Multiple of 77,310,791 with GCF Formula

Least Common Multiple of 77,310,791 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 77,310,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,310,791) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(77,310,791) x common factors =1 x 7 = 7

LCM(77,310,791) = ( 77 × 310 × 791 ) / 7

LCM(77,310,791) = 18881170 / 7

LCM(77,310,791) = 2697310


Lets's calculate GCF of 510,85,878

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2697310/1

Therefore the LCM of Fractions 77/510,310/85,791/878 is 2697310

Greatest Common Factor of 510,85,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,85,878 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 510,85,878 . The biggest common factor number is the GCF number.
So the greatest common factor 510,85,878 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 77/510, 310/85, 791/878

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 77/510, 310/85, 791/878?

Answer: LCM of Numerators as per given numbers 77/510, 310/85, 791/878 is

LCM of Numerators i.e. for 77,310,791 is 2697310

GCF of denominators i.e. for 510,85,878 is 1.

Thus, LCM of Fractions is 2697310.Finally, LCM of Fractions for 77/510, 310/85, 791/878 is 2697310.