Least Common Multiple of 238/121, 657/275, 606/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 238/121, 657/275, 606/788 quickly i.e. 15792966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 238/121, 657/275, 606/788 is 15792966.

LCM(238/121, 657/275, 606/788) = 15792966

LCM of 238/121, 657/275, 606/788

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 238/121,657/275,606/788

Given numbers are 238/121,657/275,606/788

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 238,657,606

Least Common Multiple of Numerators i.e. LCM of 238,657,606 is 15792966.

GCF of Denominators means GCF of 121,275,788 as per the given fractions.

GCF of 121,275,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 238,657,606

LCM of Fractions 238/121,657/275,606/788 is 15792966

2 238, 657, 606
3 119, 657, 303
119, 219, 101

∴ So the LCM of the given numbers is 2 x 3 x 119 x 219 x 101 = 15792966

Least Common Multiple of 238,657,606 with GCF Formula

Least Common Multiple of 238,657,606 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 238,657,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,657,606) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(238,657,606) x common factors =1 x 6 = 6

LCM(238,657,606) = ( 238 × 657 × 606 ) / 6

LCM(238,657,606) = 94757796 / 6

LCM(238,657,606) = 15792966


Lets's calculate GCF of 121,275,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15792966/1

Therefore the LCM of Fractions 238/121,657/275,606/788 is 15792966

Greatest Common Factor of 121,275,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 121,275,788 By Matching Biggest Common Factor Method

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 121,275,788 . The biggest common factor number is the GCF number.
So the greatest common factor 121,275,788 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 238/121, 657/275, 606/788

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 238/121, 657/275, 606/788?

Answer: LCM of Numerators as per given numbers 238/121, 657/275, 606/788 is

LCM of Numerators i.e. for 238,657,606 is 15792966

GCF of denominators i.e. for 121,275,788 is 1.

Thus, LCM of Fractions is 15792966.Finally, LCM of Fractions for 238/121, 657/275, 606/788 is 15792966.