Least Common Multiple of 136/77, 113/75, 741/215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 136/77, 113/75, 741/215 quickly i.e. 11387688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 136/77, 113/75, 741/215 is 11387688.

LCM(136/77, 113/75, 741/215) = 11387688

LCM of 136/77, 113/75, 741/215

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 136/77,113/75,741/215

Given numbers are 136/77,113/75,741/215

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 136,113,741

Least Common Multiple of Numerators i.e. LCM of 136,113,741 is 11387688.

GCF of Denominators means GCF of 77,75,215 as per the given fractions.

GCF of 77,75,215 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 136,113,741

LCM of Fractions 136/77,113/75,741/215 is 11387688

Given numbers has no common factors except 1. So, there LCM is their product i.e 11387688

Least Common Multiple of 136,113,741 with GCF Formula

Least Common Multiple of 136,113,741 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 136,113,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,113,741) = 1

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

GCF(136,113,741) x common factors =1 x 1 = 1

LCM(136,113,741) = ( 136 × 113 × 741 ) / 1

LCM(136,113,741) = 11387688 / 1

LCM(136,113,741) = 11387688


Lets's calculate GCF of 77,75,215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11387688/1

Therefore the LCM of Fractions 136/77,113/75,741/215 is 11387688

Greatest Common Factor of 77,75,215 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,75,215 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 215

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

1,5,43,215

Greatest Common Factor

We found the factors 77,75,215 . The biggest common factor number is the GCF number.
So the greatest common factor 77,75,215 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 136/77, 113/75, 741/215

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 136/77, 113/75, 741/215?

Answer: LCM of Numerators as per given numbers 136/77, 113/75, 741/215 is

LCM of Numerators i.e. for 136,113,741 is 11387688

GCF of denominators i.e. for 77,75,215 is 1.

Thus, LCM of Fractions is 11387688.Finally, LCM of Fractions for 136/77, 113/75, 741/215 is 11387688.