Least Common Multiple of 9726/178, 3601/9892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9726/178, 3601/9892 quickly i.e. 17511663 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9726/178, 3601/9892 is 17511663.

LCM(9726/178, 3601/9892) = 17511663

LCM of 9726/178, 3601/9892

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 9726/178,3601/9892

Given numbers are 9726/178,3601/9892

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 9726,3601

Least Common Multiple of Numerators i.e. LCM of 9726,3601 is 35023326.

GCF of Denominators means GCF of 178,9892 as per the given fractions.

GCF of 178,9892 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9726,3601

LCM of Fractions 9726/178,3601/9892 is 17511663

Given numbers has no common factors except 1. So, there LCM is their product i.e 35023326

Least Common Multiple of 9726,3601 with GCF Formula

Least Common Multiple of 9726,3601 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 9726,3601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9726,3601) = 1

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

GCF(9726,3601) x common factors =1 x 1 = 1

LCM(9726,3601) = ( 9726 × 3601 ) / 1

LCM(9726,3601) = 35023326 / 1

LCM(9726,3601) = 35023326


Lets's calculate GCF of 178,9892

2 178, 9892
89, 4946

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35023326/2

Therefore the LCM of Fractions 9726/178,3601/9892 is 17511663

Greatest Common Factor of 178,9892 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,9892 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 9892

List of positive integer factors of 9892 that divides 9892 without a remainder.

1,2,4,2473,4946,9892

Greatest Common Factor

We found the factors 178,9892 . The biggest common factor number is the GCF number.
So the greatest common factor 178,9892 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 9726/178, 3601/9892

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 9726/178, 3601/9892?

Answer: LCM of Numerators as per given numbers 9726/178, 3601/9892 is

LCM of Numerators i.e. for 9726,3601 is 35023326

GCF of denominators i.e. for 178,9892 is 2.

Thus, LCM of Fractions is 17511663.Finally, LCM of Fractions for 9726/178, 3601/9892 is 17511663.