Least Common Multiple of 8229/751, 1938/7486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8229/751, 1938/7486 quickly i.e. 5315934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8229/751, 1938/7486 is 5315934.

LCM(8229/751, 1938/7486) = 5315934

LCM of 8229/751, 1938/7486

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 8229/751,1938/7486

Given numbers are 8229/751,1938/7486

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 8229,1938

Least Common Multiple of Numerators i.e. LCM of 8229,1938 is 5315934.

GCF of Denominators means GCF of 751,7486 as per the given fractions.

GCF of 751,7486 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8229,1938

LCM of Fractions 8229/751,1938/7486 is 5315934

3 8229, 1938
2743, 646

∴ So the LCM of the given numbers is 3 x 2743 x 646 = 5315934

Least Common Multiple of 8229,1938 with GCF Formula

Least Common Multiple of 8229,1938 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 8229,1938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8229,1938) = 3

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

GCF(8229,1938) x common factors =3 x 1 = 3

LCM(8229,1938) = ( 8229 × 1938 ) / 3

LCM(8229,1938) = 15947802 / 3

LCM(8229,1938) = 5315934


Lets's calculate GCF of 751,7486

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5315934/1

Therefore the LCM of Fractions 8229/751,1938/7486 is 5315934

Greatest Common Factor of 751,7486 By Matching Biggest Common Factor Method

Greatest Common Factor of 751,7486 By Matching Biggest Common Factor Method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 7486

List of positive integer factors of 7486 that divides 7486 without a remainder.

1,2,19,38,197,394,3743,7486

Greatest Common Factor

We found the factors 751,7486 . The biggest common factor number is the GCF number.
So the greatest common factor 751,7486 is 1.


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Frequently Asked Questions on Fractional LCM of 8229/751, 1938/7486

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 8229/751, 1938/7486?

Answer: LCM of Numerators as per given numbers 8229/751, 1938/7486 is

LCM of Numerators i.e. for 8229,1938 is 5315934

GCF of denominators i.e. for 751,7486 is 1.

Thus, LCM of Fractions is 5315934.Finally, LCM of Fractions for 8229/751, 1938/7486 is 5315934.