Least Common Multiple of 77/215, 732/133, 269/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/215, 732/133, 269/238 quickly i.e. 15161916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/215, 732/133, 269/238 is 15161916.

LCM(77/215, 732/133, 269/238) = 15161916

LCM of 77/215, 732/133, 269/238

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 77/215,732/133,269/238

Given numbers are 77/215,732/133,269/238

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 77,732,269

Least Common Multiple of Numerators i.e. LCM of 77,732,269 is 15161916.

GCF of Denominators means GCF of 215,133,238 as per the given fractions.

GCF of 215,133,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,732,269

LCM of Fractions 77/215,732/133,269/238 is 15161916

Given numbers has no common factors except 1. So, there LCM is their product i.e 15161916

Least Common Multiple of 77,732,269 with GCF Formula

Least Common Multiple of 77,732,269 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 77,732,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,732,269) = 1

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

GCF(77,732,269) x common factors =1 x 1 = 1

LCM(77,732,269) = ( 77 × 732 × 269 ) / 1

LCM(77,732,269) = 15161916 / 1

LCM(77,732,269) = 15161916


Lets's calculate GCF of 215,133,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15161916/1

Therefore the LCM of Fractions 77/215,732/133,269/238 is 15161916

Greatest Common Factor of 215,133,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 215,133,238 By Matching Biggest Common Factor Method

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 215,133,238 . The biggest common factor number is the GCF number.
So the greatest common factor 215,133,238 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 77/215, 732/133, 269/238

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 77/215, 732/133, 269/238?

Answer: LCM of Numerators as per given numbers 77/215, 732/133, 269/238 is

LCM of Numerators i.e. for 77,732,269 is 15161916

GCF of denominators i.e. for 215,133,238 is 1.

Thus, LCM of Fractions is 15161916.Finally, LCM of Fractions for 77/215, 732/133, 269/238 is 15161916.