Least Common Multiple of 724/49, 955/97, 744/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/49, 955/97, 744/73 quickly i.e. 128604120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/49, 955/97, 744/73 is 128604120.

LCM(724/49, 955/97, 744/73) = 128604120

LCM of 724/49, 955/97, 744/73

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 724/49,955/97,744/73

Given numbers are 724/49,955/97,744/73

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 724,955,744

Least Common Multiple of Numerators i.e. LCM of 724,955,744 is 128604120.

GCF of Denominators means GCF of 49,97,73 as per the given fractions.

GCF of 49,97,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,955,744

LCM of Fractions 724/49,955/97,744/73 is 128604120

2 724, 955, 744
2 362, 955, 372
181, 955, 186

∴ So the LCM of the given numbers is 2 x 2 x 181 x 955 x 186 = 128604120

Least Common Multiple of 724,955,744 with GCF Formula

Least Common Multiple of 724,955,744 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 724,955,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,955,744) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(724,955,744) x common factors =1 x 4 = 4

LCM(724,955,744) = ( 724 × 955 × 744 ) / 4

LCM(724,955,744) = 514416480 / 4

LCM(724,955,744) = 128604120


Lets's calculate GCF of 49,97,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128604120/1

Therefore the LCM of Fractions 724/49,955/97,744/73 is 128604120

Greatest Common Factor of 49,97,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,97,73 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 49,97,73 . The biggest common factor number is the GCF number.
So the greatest common factor 49,97,73 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 724/49, 955/97, 744/73

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 724/49, 955/97, 744/73?

Answer: LCM of Numerators as per given numbers 724/49, 955/97, 744/73 is

LCM of Numerators i.e. for 724,955,744 is 128604120

GCF of denominators i.e. for 49,97,73 is 1.

Thus, LCM of Fractions is 128604120.Finally, LCM of Fractions for 724/49, 955/97, 744/73 is 128604120.