Least Common Multiple of 9698/453, 5142/7539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9698/453, 5142/7539 quickly i.e. 8311186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9698/453, 5142/7539 is 8311186.

LCM(9698/453, 5142/7539) = 8311186

LCM of 9698/453, 5142/7539

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 9698/453,5142/7539

Given numbers are 9698/453,5142/7539

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 9698,5142

Least Common Multiple of Numerators i.e. LCM of 9698,5142 is 24933558.

GCF of Denominators means GCF of 453,7539 as per the given fractions.

GCF of 453,7539 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9698,5142

LCM of Fractions 9698/453,5142/7539 is 8311186

2 9698, 5142
4849, 2571

∴ So the LCM of the given numbers is 2 x 4849 x 2571 = 24933558

Least Common Multiple of 9698,5142 with GCF Formula

Least Common Multiple of 9698,5142 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 9698,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9698,5142) = 2

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

GCF(9698,5142) x common factors =2 x 1 = 2

LCM(9698,5142) = ( 9698 × 5142 ) / 2

LCM(9698,5142) = 49867116 / 2

LCM(9698,5142) = 24933558


Lets's calculate GCF of 453,7539

3 453, 7539
151, 2513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24933558/3

Therefore the LCM of Fractions 9698/453,5142/7539 is 8311186

Greatest Common Factor of 453,7539 By Matching Biggest Common Factor Method

Greatest Common Factor of 453,7539 By Matching Biggest Common Factor Method

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1,3,151,453

Factors of 7539

List of positive integer factors of 7539 that divides 7539 without a remainder.

1,3,7,21,359,1077,2513,7539

Greatest Common Factor

We found the factors 453,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 453,7539 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 9698/453, 5142/7539

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 9698/453, 5142/7539?

Answer: LCM of Numerators as per given numbers 9698/453, 5142/7539 is

LCM of Numerators i.e. for 9698,5142 is 24933558

GCF of denominators i.e. for 453,7539 is 3.

Thus, LCM of Fractions is 8311186.Finally, LCM of Fractions for 9698/453, 5142/7539 is 8311186.