Least Common Multiple of 9573/836, 9177/7049

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9573/836, 9177/7049 quickly i.e. 1541253 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9573/836, 9177/7049 is 1541253.

LCM(9573/836, 9177/7049) = 1541253

LCM of 9573/836, 9177/7049

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 9573/836,9177/7049

Given numbers are 9573/836,9177/7049

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 9573,9177

Least Common Multiple of Numerators i.e. LCM of 9573,9177 is 29283807.

GCF of Denominators means GCF of 836,7049 as per the given fractions.

GCF of 836,7049 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9573,9177

LCM of Fractions 9573/836,9177/7049 is 1541253

3 9573, 9177
3191, 3059

∴ So the LCM of the given numbers is 3 x 3191 x 3059 = 29283807

Least Common Multiple of 9573,9177 with GCF Formula

Least Common Multiple of 9573,9177 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 9573,9177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9573,9177) = 3

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

GCF(9573,9177) x common factors =3 x 1 = 3

LCM(9573,9177) = ( 9573 × 9177 ) / 3

LCM(9573,9177) = 87851421 / 3

LCM(9573,9177) = 29283807


Lets's calculate GCF of 836,7049

19 836, 7049
44, 371

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29283807/19

Therefore the LCM of Fractions 9573/836,9177/7049 is 1541253

Greatest Common Factor of 836,7049 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,7049 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 7049

List of positive integer factors of 7049 that divides 7049 without a remainder.

1,7,19,53,133,371,1007,7049

Greatest Common Factor

We found the factors 836,7049 . The biggest common factor number is the GCF number.
So the greatest common factor 836,7049 is 19.


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 9573/836, 9177/7049

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 9573/836, 9177/7049?

Answer: LCM of Numerators as per given numbers 9573/836, 9177/7049 is

LCM of Numerators i.e. for 9573,9177 is 29283807

GCF of denominators i.e. for 836,7049 is 19.

Thus, LCM of Fractions is 1541253.Finally, LCM of Fractions for 9573/836, 9177/7049 is 1541253.