Least Common Multiple of 119/53, 242/5375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 119/53, 242/5375 quickly i.e. 28798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 119/53, 242/5375 is 28798.

LCM(119/53, 242/5375) = 28798

LCM of 119/53, 242/5375

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 119/53,242/5375

Given numbers are 119/53,242/5375

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 119,242

Least Common Multiple of Numerators i.e. LCM of 119,242 is 28798.

GCF of Denominators means GCF of 53,5375 as per the given fractions.

GCF of 53,5375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 119,242

LCM of Fractions 119/53,242/5375 is 28798

Given numbers has no common factors except 1. So, there LCM is their product i.e 28798

Least Common Multiple of 119,242 with GCF Formula

Least Common Multiple of 119,242 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 119,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(119,242) = 1

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

GCF(119,242) x common factors =1 x 1 = 1

LCM(119,242) = ( 119 × 242 ) / 1

LCM(119,242) = 28798 / 1

LCM(119,242) = 28798


Lets's calculate GCF of 53,5375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28798/1

Therefore the LCM of Fractions 119/53,242/5375 is 28798

Greatest Common Factor of 53,5375 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,5375 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 5375

List of positive integer factors of 5375 that divides 5375 without a remainder.

1,5,25,43,125,215,1075,5375

Greatest Common Factor

We found the factors 53,5375 . The biggest common factor number is the GCF number.
So the greatest common factor 53,5375 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 119/53, 242/5375

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 119/53, 242/5375?

Answer: LCM of Numerators as per given numbers 119/53, 242/5375 is

LCM of Numerators i.e. for 119,242 is 28798

GCF of denominators i.e. for 53,5375 is 1.

Thus, LCM of Fractions is 28798.Finally, LCM of Fractions for 119/53, 242/5375 is 28798.