Least Common Multiple of 784/716, 601/760, 979/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 784/716, 601/760, 979/891 quickly i.e. 461289136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/716, 601/760, 979/891 is 461289136.

LCM(784/716, 601/760, 979/891) = 461289136

LCM of 784/716, 601/760, 979/891

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 784/716,601/760,979/891

Given numbers are 784/716,601/760,979/891

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 784,601,979

Least Common Multiple of Numerators i.e. LCM of 784,601,979 is 461289136.

GCF of Denominators means GCF of 716,760,891 as per the given fractions.

GCF of 716,760,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,601,979

LCM of Fractions 784/716,601/760,979/891 is 461289136

Given numbers has no common factors except 1. So, there LCM is their product i.e 461289136

Least Common Multiple of 784,601,979 with GCF Formula

Least Common Multiple of 784,601,979 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 784,601,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,601,979) = 1

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

GCF(784,601,979) x common factors =1 x 1 = 1

LCM(784,601,979) = ( 784 × 601 × 979 ) / 1

LCM(784,601,979) = 461289136 / 1

LCM(784,601,979) = 461289136


Lets's calculate GCF of 716,760,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 461289136/1

Therefore the LCM of Fractions 784/716,601/760,979/891 is 461289136

Greatest Common Factor of 716,760,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 716,760,891 By Matching Biggest Common Factor Method

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

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

Greatest Common Factor

We found the factors 716,760,891 . The biggest common factor number is the GCF number.
So the greatest common factor 716,760,891 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 784/716, 601/760, 979/891

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 784/716, 601/760, 979/891?

Answer: LCM of Numerators as per given numbers 784/716, 601/760, 979/891 is

LCM of Numerators i.e. for 784,601,979 is 461289136

GCF of denominators i.e. for 716,760,891 is 1.

Thus, LCM of Fractions is 461289136.Finally, LCM of Fractions for 784/716, 601/760, 979/891 is 461289136.