Least Common Multiple of 791/916, 144/831, 821/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 791/916, 144/831, 821/675 quickly i.e. 93515184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 791/916, 144/831, 821/675 is 93515184.

LCM(791/916, 144/831, 821/675) = 93515184

LCM of 791/916, 144/831, 821/675

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 791/916,144/831,821/675

Given numbers are 791/916,144/831,821/675

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 791,144,821

Least Common Multiple of Numerators i.e. LCM of 791,144,821 is 93515184.

GCF of Denominators means GCF of 916,831,675 as per the given fractions.

GCF of 916,831,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 791,144,821

LCM of Fractions 791/916,144/831,821/675 is 93515184

Given numbers has no common factors except 1. So, there LCM is their product i.e 93515184

Least Common Multiple of 791,144,821 with GCF Formula

Least Common Multiple of 791,144,821 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 791,144,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,144,821) = 1

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

GCF(791,144,821) x common factors =1 x 1 = 1

LCM(791,144,821) = ( 791 × 144 × 821 ) / 1

LCM(791,144,821) = 93515184 / 1

LCM(791,144,821) = 93515184


Lets's calculate GCF of 916,831,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93515184/1

Therefore the LCM of Fractions 791/916,144/831,821/675 is 93515184

Greatest Common Factor of 916,831,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,831,675 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 916,831,675 . The biggest common factor number is the GCF number.
So the greatest common factor 916,831,675 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 791/916, 144/831, 821/675

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 791/916, 144/831, 821/675?

Answer: LCM of Numerators as per given numbers 791/916, 144/831, 821/675 is

LCM of Numerators i.e. for 791,144,821 is 93515184

GCF of denominators i.e. for 916,831,675 is 1.

Thus, LCM of Fractions is 93515184.Finally, LCM of Fractions for 791/916, 144/831, 821/675 is 93515184.