Least Common Multiple of 77/891, 66/317, 891/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/891, 66/317, 891/722 quickly i.e. 12474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/891, 66/317, 891/722 is 12474.

LCM(77/891, 66/317, 891/722) = 12474

LCM of 77/891, 66/317, 891/722

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 77/891,66/317,891/722

Given numbers are 77/891,66/317,891/722

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 77,66,891

Least Common Multiple of Numerators i.e. LCM of 77,66,891 is 12474.

GCF of Denominators means GCF of 891,317,722 as per the given fractions.

GCF of 891,317,722 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,66,891

LCM of Fractions 77/891,66/317,891/722 is 12474

3 77, 66, 891
11 77, 22, 297
7, 2, 27

∴ So the LCM of the given numbers is 3 x 11 x 7 x 2 x 27 = 12474

Least Common Multiple of 77,66,891 with GCF Formula

Least Common Multiple of 77,66,891 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 77,66,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,66,891) = 11

common factors(in case of two or more numbers have common factors) = 33

GCF(77,66,891) x common factors =11 x 33 = 363

LCM(77,66,891) = ( 77 × 66 × 891 ) / 363

LCM(77,66,891) = 4528062 / 363

LCM(77,66,891) = 12474


Lets's calculate GCF of 891,317,722

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12474/1

Therefore the LCM of Fractions 77/891,66/317,891/722 is 12474

Greatest Common Factor of 891,317,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,317,722 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 891,317,722 . The biggest common factor number is the GCF number.
So the greatest common factor 891,317,722 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 77/891, 66/317, 891/722

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 77/891, 66/317, 891/722?

Answer: LCM of Numerators as per given numbers 77/891, 66/317, 891/722 is

LCM of Numerators i.e. for 77,66,891 is 12474

GCF of denominators i.e. for 891,317,722 is 1.

Thus, LCM of Fractions is 12474.Finally, LCM of Fractions for 77/891, 66/317, 891/722 is 12474.