Least Common Multiple of 9726/538, 1269/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9726/538, 1269/350 quickly i.e. 2057049 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9726/538, 1269/350 is 2057049.

LCM(9726/538, 1269/350) = 2057049

LCM of 9726/538, 1269/350

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 9726/538,1269/350

Given numbers are 9726/538,1269/350

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 9726,1269

Least Common Multiple of Numerators i.e. LCM of 9726,1269 is 4114098.

GCF of Denominators means GCF of 538,350 as per the given fractions.

GCF of 538,350 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9726,1269

LCM of Fractions 9726/538,1269/350 is 2057049

3 9726, 1269
3242, 423

∴ So the LCM of the given numbers is 3 x 3242 x 423 = 4114098

Least Common Multiple of 9726,1269 with GCF Formula

Least Common Multiple of 9726,1269 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 9726,1269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9726,1269) = 3

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

GCF(9726,1269) x common factors =3 x 1 = 3

LCM(9726,1269) = ( 9726 × 1269 ) / 3

LCM(9726,1269) = 12342294 / 3

LCM(9726,1269) = 4114098


Lets's calculate GCF of 538,350

2 538, 350
269, 175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4114098/2

Therefore the LCM of Fractions 9726/538,1269/350 is 2057049

Greatest Common Factor of 538,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,350 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 538,350 . The biggest common factor number is the GCF number.
So the greatest common factor 538,350 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 9726/538, 1269/350

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 9726/538, 1269/350?

Answer: LCM of Numerators as per given numbers 9726/538, 1269/350 is

LCM of Numerators i.e. for 9726,1269 is 4114098

GCF of denominators i.e. for 538,350 is 2.

Thus, LCM of Fractions is 2057049.Finally, LCM of Fractions for 9726/538, 1269/350 is 2057049.