Least Common Multiple of 495/794, 1353/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/794, 1353/772 quickly i.e. 20295/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/794, 1353/772 is 20295/2.

LCM(495/794, 1353/772) = 20295/2

LCM of 495/794, 1353/772

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 495/794,1353/772

Given numbers are 495/794,1353/772

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 495,1353

Least Common Multiple of Numerators i.e. LCM of 495,1353 is 20295.

GCF of Denominators means GCF of 794,772 as per the given fractions.

GCF of 794,772 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,1353

LCM of Fractions 495/794,1353/772 is 20295/2

3 495, 1353
11 165, 451
15, 41

∴ So the LCM of the given numbers is 3 x 11 x 15 x 41 = 20295

Least Common Multiple of 495,1353 with GCF Formula

Least Common Multiple of 495,1353 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 495,1353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,1353) = 33

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

GCF(495,1353) x common factors =33 x 1 = 33

LCM(495,1353) = ( 495 × 1353 ) / 33

LCM(495,1353) = 669735 / 33

LCM(495,1353) = 20295


Lets's calculate GCF of 794,772

2 794, 772
397, 386

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20295/2

Therefore the LCM of Fractions 495/794,1353/772 is 20295/2

Greatest Common Factor of 794,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,772 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 794,772 . The biggest common factor number is the GCF number.
So the greatest common factor 794,772 is 2.


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 495/794, 1353/772

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 495/794, 1353/772?

Answer: LCM of Numerators as per given numbers 495/794, 1353/772 is

LCM of Numerators i.e. for 495,1353 is 20295

GCF of denominators i.e. for 794,772 is 2.

Thus, LCM of Fractions is 20295/2.Finally, LCM of Fractions for 495/794, 1353/772 is 20295/2.