Least Common Multiple of 9736/857, 3528/9525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9736/857, 3528/9525 quickly i.e. 4293576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9736/857, 3528/9525 is 4293576.

LCM(9736/857, 3528/9525) = 4293576

LCM of 9736/857, 3528/9525

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 9736/857,3528/9525

Given numbers are 9736/857,3528/9525

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 9736,3528

Least Common Multiple of Numerators i.e. LCM of 9736,3528 is 4293576.

GCF of Denominators means GCF of 857,9525 as per the given fractions.

GCF of 857,9525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9736,3528

LCM of Fractions 9736/857,3528/9525 is 4293576

2 9736, 3528
2 4868, 1764
2 2434, 882
1217, 441

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1217 x 441 = 4293576

Least Common Multiple of 9736,3528 with GCF Formula

Least Common Multiple of 9736,3528 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 9736,3528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9736,3528) = 8

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

GCF(9736,3528) x common factors =8 x 1 = 8

LCM(9736,3528) = ( 9736 × 3528 ) / 8

LCM(9736,3528) = 34348608 / 8

LCM(9736,3528) = 4293576


Lets's calculate GCF of 857,9525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4293576/1

Therefore the LCM of Fractions 9736/857,3528/9525 is 4293576

Greatest Common Factor of 857,9525 By Matching Biggest Common Factor Method

Greatest Common Factor of 857,9525 By Matching Biggest Common Factor Method

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Factors of 9525

List of positive integer factors of 9525 that divides 9525 without a remainder.

1,3,5,15,25,75,127,381,635,1905,3175,9525

Greatest Common Factor

We found the factors 857,9525 . The biggest common factor number is the GCF number.
So the greatest common factor 857,9525 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9736/857, 3528/9525

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 9736/857, 3528/9525?

Answer: LCM of Numerators as per given numbers 9736/857, 3528/9525 is

LCM of Numerators i.e. for 9736,3528 is 4293576

GCF of denominators i.e. for 857,9525 is 1.

Thus, LCM of Fractions is 4293576.Finally, LCM of Fractions for 9736/857, 3528/9525 is 4293576.