Least Common Multiple of 77/945, 91/901, 359/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/945, 91/901, 359/854 quickly i.e. 359359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/945, 91/901, 359/854 is 359359.

LCM(77/945, 91/901, 359/854) = 359359

LCM of 77/945, 91/901, 359/854

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 77/945,91/901,359/854

Given numbers are 77/945,91/901,359/854

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 77,91,359

Least Common Multiple of Numerators i.e. LCM of 77,91,359 is 359359.

GCF of Denominators means GCF of 945,901,854 as per the given fractions.

GCF of 945,901,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,91,359

LCM of Fractions 77/945,91/901,359/854 is 359359

7 77, 91, 359
11, 13, 359

∴ So the LCM of the given numbers is 7 x 11 x 13 x 359 = 359359

Least Common Multiple of 77,91,359 with GCF Formula

Least Common Multiple of 77,91,359 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 77,91,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,91,359) = 1

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

GCF(77,91,359) x common factors =1 x 7 = 7

LCM(77,91,359) = ( 77 × 91 × 359 ) / 7

LCM(77,91,359) = 2515513 / 7

LCM(77,91,359) = 359359


Lets's calculate GCF of 945,901,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 359359/1

Therefore the LCM of Fractions 77/945,91/901,359/854 is 359359

Greatest Common Factor of 945,901,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,901,854 By Matching Biggest Common Factor Method

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 945,901,854 . The biggest common factor number is the GCF number.
So the greatest common factor 945,901,854 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 77/945, 91/901, 359/854

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 77/945, 91/901, 359/854?

Answer: LCM of Numerators as per given numbers 77/945, 91/901, 359/854 is

LCM of Numerators i.e. for 77,91,359 is 359359

GCF of denominators i.e. for 945,901,854 is 1.

Thus, LCM of Fractions is 359359.Finally, LCM of Fractions for 77/945, 91/901, 359/854 is 359359.