Least Common Multiple of 272/203, 550/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 272/203, 550/175 quickly i.e. 74800/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 272/203, 550/175 is 74800/7.

LCM(272/203, 550/175) = 74800/7

LCM of 272/203, 550/175

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 272/203,550/175

Given numbers are 272/203,550/175

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 272,550

Least Common Multiple of Numerators i.e. LCM of 272,550 is 74800.

GCF of Denominators means GCF of 203,175 as per the given fractions.

GCF of 203,175 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 272,550

LCM of Fractions 272/203,550/175 is 74800/7

2 272, 550
136, 275

∴ So the LCM of the given numbers is 2 x 136 x 275 = 74800

Least Common Multiple of 272,550 with GCF Formula

Least Common Multiple of 272,550 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 272,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,550) = 2

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

GCF(272,550) x common factors =2 x 1 = 2

LCM(272,550) = ( 272 × 550 ) / 2

LCM(272,550) = 149600 / 2

LCM(272,550) = 74800


Lets's calculate GCF of 203,175

7 203, 175
29, 25

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74800/7

Therefore the LCM of Fractions 272/203,550/175 is 74800/7

Greatest Common Factor of 203,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,175 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 203,175 . The biggest common factor number is the GCF number.
So the greatest common factor 203,175 is 7.


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 272/203, 550/175

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 272/203, 550/175?

Answer: LCM of Numerators as per given numbers 272/203, 550/175 is

LCM of Numerators i.e. for 272,550 is 74800

GCF of denominators i.e. for 203,175 is 7.

Thus, LCM of Fractions is 74800/7.Finally, LCM of Fractions for 272/203, 550/175 is 74800/7.