Least Common Multiple of 276/758, 7084/4516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 276/758, 7084/4516 quickly i.e. 10626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 276/758, 7084/4516 is 10626.

LCM(276/758, 7084/4516) = 10626

LCM of 276/758, 7084/4516

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 276/758,7084/4516

Given numbers are 276/758,7084/4516

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 276,7084

Least Common Multiple of Numerators i.e. LCM of 276,7084 is 21252.

GCF of Denominators means GCF of 758,4516 as per the given fractions.

GCF of 758,4516 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 276,7084

LCM of Fractions 276/758,7084/4516 is 10626

2 276, 7084
2 138, 3542
23 69, 1771
3, 77

∴ So the LCM of the given numbers is 2 x 2 x 23 x 3 x 77 = 21252

Least Common Multiple of 276,7084 with GCF Formula

Least Common Multiple of 276,7084 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 276,7084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,7084) = 92

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

GCF(276,7084) x common factors =92 x 1 = 92

LCM(276,7084) = ( 276 × 7084 ) / 92

LCM(276,7084) = 1955184 / 92

LCM(276,7084) = 21252


Lets's calculate GCF of 758,4516

2 758, 4516
379, 2258

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21252/2

Therefore the LCM of Fractions 276/758,7084/4516 is 10626

Greatest Common Factor of 758,4516 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,4516 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 4516

List of positive integer factors of 4516 that divides 4516 without a remainder.

1,2,4,1129,2258,4516

Greatest Common Factor

We found the factors 758,4516 . The biggest common factor number is the GCF number.
So the greatest common factor 758,4516 is 2.


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 276/758, 7084/4516

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 276/758, 7084/4516?

Answer: LCM of Numerators as per given numbers 276/758, 7084/4516 is

LCM of Numerators i.e. for 276,7084 is 21252

GCF of denominators i.e. for 758,4516 is 2.

Thus, LCM of Fractions is 10626.Finally, LCM of Fractions for 276/758, 7084/4516 is 10626.