Least Common Multiple of 6492/176, 9817/9844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6492/176, 9817/9844 quickly i.e. 15932991 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6492/176, 9817/9844 is 15932991.

LCM(6492/176, 9817/9844) = 15932991

LCM of 6492/176, 9817/9844

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 6492/176,9817/9844

Given numbers are 6492/176,9817/9844

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 6492,9817

Least Common Multiple of Numerators i.e. LCM of 6492,9817 is 63731964.

GCF of Denominators means GCF of 176,9844 as per the given fractions.

GCF of 176,9844 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6492,9817

LCM of Fractions 6492/176,9817/9844 is 15932991

Given numbers has no common factors except 1. So, there LCM is their product i.e 63731964

Least Common Multiple of 6492,9817 with GCF Formula

Least Common Multiple of 6492,9817 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 6492,9817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6492,9817) = 1

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

GCF(6492,9817) x common factors =1 x 1 = 1

LCM(6492,9817) = ( 6492 × 9817 ) / 1

LCM(6492,9817) = 63731964 / 1

LCM(6492,9817) = 63731964


Lets's calculate GCF of 176,9844

2 176, 9844
2 88, 4922
44, 2461

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63731964/4

Therefore the LCM of Fractions 6492/176,9817/9844 is 15932991

Greatest Common Factor of 176,9844 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,9844 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 9844

List of positive integer factors of 9844 that divides 9844 without a remainder.

1,2,4,23,46,92,107,214,428,2461,4922,9844

Greatest Common Factor

We found the factors 176,9844 . The biggest common factor number is the GCF number.
So the greatest common factor 176,9844 is 4.


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 6492/176, 9817/9844

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 6492/176, 9817/9844?

Answer: LCM of Numerators as per given numbers 6492/176, 9817/9844 is

LCM of Numerators i.e. for 6492,9817 is 63731964

GCF of denominators i.e. for 176,9844 is 4.

Thus, LCM of Fractions is 15932991.Finally, LCM of Fractions for 6492/176, 9817/9844 is 15932991.