Least Common Multiple of 721/97, 188/99, 734/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 721/97, 188/99, 734/250 quickly i.e. 49746116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 721/97, 188/99, 734/250 is 49746116.

LCM(721/97, 188/99, 734/250) = 49746116

LCM of 721/97, 188/99, 734/250

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 721/97,188/99,734/250

Given numbers are 721/97,188/99,734/250

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 721,188,734

Least Common Multiple of Numerators i.e. LCM of 721,188,734 is 49746116.

GCF of Denominators means GCF of 97,99,250 as per the given fractions.

GCF of 97,99,250 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 721,188,734

LCM of Fractions 721/97,188/99,734/250 is 49746116

2 721, 188, 734
721, 94, 367

∴ So the LCM of the given numbers is 2 x 721 x 94 x 367 = 49746116

Least Common Multiple of 721,188,734 with GCF Formula

Least Common Multiple of 721,188,734 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 721,188,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,188,734) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(721,188,734) x common factors =1 x 2 = 2

LCM(721,188,734) = ( 721 × 188 × 734 ) / 2

LCM(721,188,734) = 99492232 / 2

LCM(721,188,734) = 49746116


Lets's calculate GCF of 97,99,250

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49746116/1

Therefore the LCM of Fractions 721/97,188/99,734/250 is 49746116

Greatest Common Factor of 97,99,250 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,99,250 By Matching Biggest Common Factor Method

Factors of 97

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

1,97

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Greatest Common Factor

We found the factors 97,99,250 . The biggest common factor number is the GCF number.
So the greatest common factor 97,99,250 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 721/97, 188/99, 734/250

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 721/97, 188/99, 734/250?

Answer: LCM of Numerators as per given numbers 721/97, 188/99, 734/250 is

LCM of Numerators i.e. for 721,188,734 is 49746116

GCF of denominators i.e. for 97,99,250 is 1.

Thus, LCM of Fractions is 49746116.Finally, LCM of Fractions for 721/97, 188/99, 734/250 is 49746116.