Least Common Multiple of 855/22, 338/51, 913/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 855/22, 338/51, 913/272 quickly i.e. 263847870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 855/22, 338/51, 913/272 is 263847870.

LCM(855/22, 338/51, 913/272) = 263847870

LCM of 855/22, 338/51, 913/272

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 855/22,338/51,913/272

Given numbers are 855/22,338/51,913/272

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 855,338,913

Least Common Multiple of Numerators i.e. LCM of 855,338,913 is 263847870.

GCF of Denominators means GCF of 22,51,272 as per the given fractions.

GCF of 22,51,272 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 855,338,913

LCM of Fractions 855/22,338/51,913/272 is 263847870

Given numbers has no common factors except 1. So, there LCM is their product i.e 263847870

Least Common Multiple of 855,338,913 with GCF Formula

Least Common Multiple of 855,338,913 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 855,338,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(855,338,913) = 1

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

GCF(855,338,913) x common factors =1 x 1 = 1

LCM(855,338,913) = ( 855 × 338 × 913 ) / 1

LCM(855,338,913) = 263847870 / 1

LCM(855,338,913) = 263847870


Lets's calculate GCF of 22,51,272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263847870/1

Therefore the LCM of Fractions 855/22,338/51,913/272 is 263847870

Greatest Common Factor of 22,51,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,51,272 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 22,51,272 . The biggest common factor number is the GCF number.
So the greatest common factor 22,51,272 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 855/22, 338/51, 913/272

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 855/22, 338/51, 913/272?

Answer: LCM of Numerators as per given numbers 855/22, 338/51, 913/272 is

LCM of Numerators i.e. for 855,338,913 is 263847870

GCF of denominators i.e. for 22,51,272 is 1.

Thus, LCM of Fractions is 263847870.Finally, LCM of Fractions for 855/22, 338/51, 913/272 is 263847870.