Least Common Multiple of 6952/48, 7278/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6952/48, 7278/819 quickly i.e. 8432776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6952/48, 7278/819 is 8432776.

LCM(6952/48, 7278/819) = 8432776

LCM of 6952/48, 7278/819

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 6952/48,7278/819

Given numbers are 6952/48,7278/819

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 6952,7278

Least Common Multiple of Numerators i.e. LCM of 6952,7278 is 25298328.

GCF of Denominators means GCF of 48,819 as per the given fractions.

GCF of 48,819 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6952,7278

LCM of Fractions 6952/48,7278/819 is 8432776

2 6952, 7278
3476, 3639

∴ So the LCM of the given numbers is 2 x 3476 x 3639 = 25298328

Least Common Multiple of 6952,7278 with GCF Formula

Least Common Multiple of 6952,7278 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 6952,7278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6952,7278) = 2

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

GCF(6952,7278) x common factors =2 x 1 = 2

LCM(6952,7278) = ( 6952 × 7278 ) / 2

LCM(6952,7278) = 50596656 / 2

LCM(6952,7278) = 25298328


Lets's calculate GCF of 48,819

3 48, 819
16, 273

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25298328/3

Therefore the LCM of Fractions 6952/48,7278/819 is 8432776

Greatest Common Factor of 48,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,819 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 48,819 . The biggest common factor number is the GCF number.
So the greatest common factor 48,819 is 3.


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 6952/48, 7278/819

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 6952/48, 7278/819?

Answer: LCM of Numerators as per given numbers 6952/48, 7278/819 is

LCM of Numerators i.e. for 6952,7278 is 25298328

GCF of denominators i.e. for 48,819 is 3.

Thus, LCM of Fractions is 8432776.Finally, LCM of Fractions for 6952/48, 7278/819 is 8432776.