Least Common Multiple of 795/76, 255/11, 442/56

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 795/76, 255/11, 442/56 quickly i.e. 351390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 795/76, 255/11, 442/56 is 351390.

LCM(795/76, 255/11, 442/56) = 351390

LCM of 795/76, 255/11, 442/56

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 795/76,255/11,442/56

Given numbers are 795/76,255/11,442/56

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 795,255,442

Least Common Multiple of Numerators i.e. LCM of 795,255,442 is 351390.

GCF of Denominators means GCF of 76,11,56 as per the given fractions.

GCF of 76,11,56 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 795,255,442

LCM of Fractions 795/76,255/11,442/56 is 351390

3 795, 255, 442
5 265, 85, 442
17 53, 17, 442
53, 1, 26

∴ So the LCM of the given numbers is 3 x 5 x 17 x 53 x 1 x 26 = 351390

Least Common Multiple of 795,255,442 with GCF Formula

Least Common Multiple of 795,255,442 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 795,255,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(795,255,442) = 1

common factors(in case of two or more numbers have common factors) = 255

GCF(795,255,442) x common factors =1 x 255 = 255

LCM(795,255,442) = ( 795 × 255 × 442 ) / 255

LCM(795,255,442) = 89604450 / 255

LCM(795,255,442) = 351390


Lets's calculate GCF of 76,11,56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 351390/1

Therefore the LCM of Fractions 795/76,255/11,442/56 is 351390

Greatest Common Factor of 76,11,56 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,11,56 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Greatest Common Factor

We found the factors 76,11,56 . The biggest common factor number is the GCF number.
So the greatest common factor 76,11,56 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 795/76, 255/11, 442/56

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 795/76, 255/11, 442/56?

Answer: LCM of Numerators as per given numbers 795/76, 255/11, 442/56 is

LCM of Numerators i.e. for 795,255,442 is 351390

GCF of denominators i.e. for 76,11,56 is 1.

Thus, LCM of Fractions is 351390.Finally, LCM of Fractions for 795/76, 255/11, 442/56 is 351390.