Least Common Multiple of 915/48, 226/56, 493/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 915/48, 226/56, 493/722 quickly i.e. 50973735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 915/48, 226/56, 493/722 is 50973735.

LCM(915/48, 226/56, 493/722) = 50973735

LCM of 915/48, 226/56, 493/722

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 915/48,226/56,493/722

Given numbers are 915/48,226/56,493/722

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 915,226,493

Least Common Multiple of Numerators i.e. LCM of 915,226,493 is 101947470.

GCF of Denominators means GCF of 48,56,722 as per the given fractions.

GCF of 48,56,722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 915,226,493

LCM of Fractions 915/48,226/56,493/722 is 50973735

Given numbers has no common factors except 1. So, there LCM is their product i.e 101947470

Least Common Multiple of 915,226,493 with GCF Formula

Least Common Multiple of 915,226,493 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 915,226,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,226,493) = 1

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

GCF(915,226,493) x common factors =1 x 1 = 1

LCM(915,226,493) = ( 915 × 226 × 493 ) / 1

LCM(915,226,493) = 101947470 / 1

LCM(915,226,493) = 101947470


Lets's calculate GCF of 48,56,722

2 48, 56, 722
24, 28, 361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101947470/2

Therefore the LCM of Fractions 915/48,226/56,493/722 is 50973735

Greatest Common Factor of 48,56,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,56,722 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 56

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

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

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 48,56,722 . The biggest common factor number is the GCF number.
So the greatest common factor 48,56,722 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 915/48, 226/56, 493/722

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 915/48, 226/56, 493/722?

Answer: LCM of Numerators as per given numbers 915/48, 226/56, 493/722 is

LCM of Numerators i.e. for 915,226,493 is 101947470

GCF of denominators i.e. for 48,56,722 is 2.

Thus, LCM of Fractions is 50973735.Finally, LCM of Fractions for 915/48, 226/56, 493/722 is 50973735.