Least Common Multiple of 77/31, 25/79, 77/68, 84/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/31, 25/79, 77/68, 84/687 quickly i.e. 23100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/31, 25/79, 77/68, 84/687 is 23100.

LCM(77/31, 25/79, 77/68, 84/687) = 23100

LCM of 77/31, 25/79, 77/68, 84/687

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 77/31,25/79,77/68,84/687

Given numbers are 77/31,25/79,77/68,84/687

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 77,25,77,84

Least Common Multiple of Numerators i.e. LCM of 77,25,77,84 is 23100.

GCF of Denominators means GCF of 31,79,68,687 as per the given fractions.

GCF of 31,79,68,687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,25,77,84

LCM of Fractions 77/31,25/79,77/68,84/687 is 23100

7 77, 25, 77, 84
11 11, 25, 11, 12
1, 25, 1, 12

∴ So the LCM of the given numbers is 7 x 11 x 1 x 25 x 1 x 12 = 23100

Least Common Multiple of 77,25,77,84 with GCF Formula

Least Common Multiple of 77,25,77,84 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 77,25,77,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,25,77,84) = 1

common factors(in case of two or more numbers have common factors) = 539

GCF(77,25,77,84) x common factors =1 x 539 = 539

LCM(77,25,77,84) = ( 77 × 25 × 77 × 84 ) / 539

LCM(77,25,77,84) = 12450900 / 539

LCM(77,25,77,84) = 23100


Lets's calculate GCF of 31,79,68,687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23100/1

Therefore the LCM of Fractions 77/31,25/79,77/68,84/687 is 23100

Greatest Common Factor of 31,79,68,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,79,68,687 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 31,79,68,687 . The biggest common factor number is the GCF number.
So the greatest common factor 31,79,68,687 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 77/31, 25/79, 77/68, 84/687

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 77/31, 25/79, 77/68, 84/687?

Answer: LCM of Numerators as per given numbers 77/31, 25/79, 77/68, 84/687 is

LCM of Numerators i.e. for 77,25,77,84 is 23100

GCF of denominators i.e. for 31,79,68,687 is 1.

Thus, LCM of Fractions is 23100.Finally, LCM of Fractions for 77/31, 25/79, 77/68, 84/687 is 23100.