Least Common Multiple of 7512/314, 4947/3493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7512/314, 4947/3493 quickly i.e. 12387288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7512/314, 4947/3493 is 12387288.

LCM(7512/314, 4947/3493) = 12387288

LCM of 7512/314, 4947/3493

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 7512/314,4947/3493

Given numbers are 7512/314,4947/3493

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 7512,4947

Least Common Multiple of Numerators i.e. LCM of 7512,4947 is 12387288.

GCF of Denominators means GCF of 314,3493 as per the given fractions.

GCF of 314,3493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7512,4947

LCM of Fractions 7512/314,4947/3493 is 12387288

3 7512, 4947
2504, 1649

∴ So the LCM of the given numbers is 3 x 2504 x 1649 = 12387288

Least Common Multiple of 7512,4947 with GCF Formula

Least Common Multiple of 7512,4947 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 7512,4947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7512,4947) = 3

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

GCF(7512,4947) x common factors =3 x 1 = 3

LCM(7512,4947) = ( 7512 × 4947 ) / 3

LCM(7512,4947) = 37161864 / 3

LCM(7512,4947) = 12387288


Lets's calculate GCF of 314,3493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12387288/1

Therefore the LCM of Fractions 7512/314,4947/3493 is 12387288

Greatest Common Factor of 314,3493 By Matching Biggest Common Factor Method

Greatest Common Factor of 314,3493 By Matching Biggest Common Factor Method

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 3493

List of positive integer factors of 3493 that divides 3493 without a remainder.

1,7,499,3493

Greatest Common Factor

We found the factors 314,3493 . The biggest common factor number is the GCF number.
So the greatest common factor 314,3493 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 7512/314, 4947/3493

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 7512/314, 4947/3493?

Answer: LCM of Numerators as per given numbers 7512/314, 4947/3493 is

LCM of Numerators i.e. for 7512,4947 is 12387288

GCF of denominators i.e. for 314,3493 is 1.

Thus, LCM of Fractions is 12387288.Finally, LCM of Fractions for 7512/314, 4947/3493 is 12387288.