Least Common Multiple of 784/883, 613/735, 921/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 784/883, 613/735, 921/313 quickly i.e. 442625232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/883, 613/735, 921/313 is 442625232.

LCM(784/883, 613/735, 921/313) = 442625232

LCM of 784/883, 613/735, 921/313

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 784/883,613/735,921/313

Given numbers are 784/883,613/735,921/313

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 784,613,921

Least Common Multiple of Numerators i.e. LCM of 784,613,921 is 442625232.

GCF of Denominators means GCF of 883,735,313 as per the given fractions.

GCF of 883,735,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,613,921

LCM of Fractions 784/883,613/735,921/313 is 442625232

Given numbers has no common factors except 1. So, there LCM is their product i.e 442625232

Least Common Multiple of 784,613,921 with GCF Formula

Least Common Multiple of 784,613,921 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 784,613,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,613,921) = 1

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

GCF(784,613,921) x common factors =1 x 1 = 1

LCM(784,613,921) = ( 784 × 613 × 921 ) / 1

LCM(784,613,921) = 442625232 / 1

LCM(784,613,921) = 442625232


Lets's calculate GCF of 883,735,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 442625232/1

Therefore the LCM of Fractions 784/883,613/735,921/313 is 442625232

Greatest Common Factor of 883,735,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,735,313 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 883,735,313 . The biggest common factor number is the GCF number.
So the greatest common factor 883,735,313 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 784/883, 613/735, 921/313

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 784/883, 613/735, 921/313?

Answer: LCM of Numerators as per given numbers 784/883, 613/735, 921/313 is

LCM of Numerators i.e. for 784,613,921 is 442625232

GCF of denominators i.e. for 883,735,313 is 1.

Thus, LCM of Fractions is 442625232.Finally, LCM of Fractions for 784/883, 613/735, 921/313 is 442625232.