Least Common Multiple of 2668/75, 4784/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2668/75, 4784/119 quickly i.e. 138736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2668/75, 4784/119 is 138736.

LCM(2668/75, 4784/119) = 138736

LCM of 2668/75, 4784/119

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 2668/75,4784/119

Given numbers are 2668/75,4784/119

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 2668,4784

Least Common Multiple of Numerators i.e. LCM of 2668,4784 is 138736.

GCF of Denominators means GCF of 75,119 as per the given fractions.

GCF of 75,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2668,4784

LCM of Fractions 2668/75,4784/119 is 138736

2 2668, 4784
2 1334, 2392
23 667, 1196
29, 52

∴ So the LCM of the given numbers is 2 x 2 x 23 x 29 x 52 = 138736

Least Common Multiple of 2668,4784 with GCF Formula

Least Common Multiple of 2668,4784 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 2668,4784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2668,4784) = 92

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

GCF(2668,4784) x common factors =92 x 1 = 92

LCM(2668,4784) = ( 2668 × 4784 ) / 92

LCM(2668,4784) = 12763712 / 92

LCM(2668,4784) = 138736


Lets's calculate GCF of 75,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138736/1

Therefore the LCM of Fractions 2668/75,4784/119 is 138736

Greatest Common Factor of 75,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,119 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 75,119 . The biggest common factor number is the GCF number.
So the greatest common factor 75,119 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 2668/75, 4784/119

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 2668/75, 4784/119?

Answer: LCM of Numerators as per given numbers 2668/75, 4784/119 is

LCM of Numerators i.e. for 2668,4784 is 138736

GCF of denominators i.e. for 75,119 is 1.

Thus, LCM of Fractions is 138736.Finally, LCM of Fractions for 2668/75, 4784/119 is 138736.