Least Common Multiple of 313/753, 499/565, 422/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 313/753, 499/565, 422/746 quickly i.e. 65910914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 313/753, 499/565, 422/746 is 65910914.

LCM(313/753, 499/565, 422/746) = 65910914

LCM of 313/753, 499/565, 422/746

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 313/753,499/565,422/746

Given numbers are 313/753,499/565,422/746

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 313,499,422

Least Common Multiple of Numerators i.e. LCM of 313,499,422 is 65910914.

GCF of Denominators means GCF of 753,565,746 as per the given fractions.

GCF of 753,565,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 313,499,422

LCM of Fractions 313/753,499/565,422/746 is 65910914

Given numbers has no common factors except 1. So, there LCM is their product i.e 65910914

Least Common Multiple of 313,499,422 with GCF Formula

Least Common Multiple of 313,499,422 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 313,499,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,499,422) = 1

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

GCF(313,499,422) x common factors =1 x 1 = 1

LCM(313,499,422) = ( 313 × 499 × 422 ) / 1

LCM(313,499,422) = 65910914 / 1

LCM(313,499,422) = 65910914


Lets's calculate GCF of 753,565,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65910914/1

Therefore the LCM of Fractions 313/753,499/565,422/746 is 65910914

Greatest Common Factor of 753,565,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,565,746 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 753,565,746 . The biggest common factor number is the GCF number.
So the greatest common factor 753,565,746 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 313/753, 499/565, 422/746

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 313/753, 499/565, 422/746?

Answer: LCM of Numerators as per given numbers 313/753, 499/565, 422/746 is

LCM of Numerators i.e. for 313,499,422 is 65910914

GCF of denominators i.e. for 753,565,746 is 1.

Thus, LCM of Fractions is 65910914.Finally, LCM of Fractions for 313/753, 499/565, 422/746 is 65910914.