Least Common Multiple of 7812/74, 2516/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7812/74, 2516/267 quickly i.e. 4913748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7812/74, 2516/267 is 4913748.

LCM(7812/74, 2516/267) = 4913748

LCM of 7812/74, 2516/267

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 7812/74,2516/267

Given numbers are 7812/74,2516/267

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 7812,2516

Least Common Multiple of Numerators i.e. LCM of 7812,2516 is 4913748.

GCF of Denominators means GCF of 74,267 as per the given fractions.

GCF of 74,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7812,2516

LCM of Fractions 7812/74,2516/267 is 4913748

2 7812, 2516
2 3906, 1258
1953, 629

∴ So the LCM of the given numbers is 2 x 2 x 1953 x 629 = 4913748

Least Common Multiple of 7812,2516 with GCF Formula

Least Common Multiple of 7812,2516 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 7812,2516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7812,2516) = 4

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

GCF(7812,2516) x common factors =4 x 1 = 4

LCM(7812,2516) = ( 7812 × 2516 ) / 4

LCM(7812,2516) = 19654992 / 4

LCM(7812,2516) = 4913748


Lets's calculate GCF of 74,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4913748/1

Therefore the LCM of Fractions 7812/74,2516/267 is 4913748

Greatest Common Factor of 74,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,267 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 74,267 . The biggest common factor number is the GCF number.
So the greatest common factor 74,267 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 7812/74, 2516/267

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 7812/74, 2516/267?

Answer: LCM of Numerators as per given numbers 7812/74, 2516/267 is

LCM of Numerators i.e. for 7812,2516 is 4913748

GCF of denominators i.e. for 74,267 is 1.

Thus, LCM of Fractions is 4913748.Finally, LCM of Fractions for 7812/74, 2516/267 is 4913748.