Least Common Multiple of 9628/253, 7177/2827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9628/253, 7177/2827 quickly i.e. 69100156/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9628/253, 7177/2827 is 69100156/11.

LCM(9628/253, 7177/2827) = 69100156/11

LCM of 9628/253, 7177/2827

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 9628/253,7177/2827

Given numbers are 9628/253,7177/2827

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 9628,7177

Least Common Multiple of Numerators i.e. LCM of 9628,7177 is 69100156.

GCF of Denominators means GCF of 253,2827 as per the given fractions.

GCF of 253,2827 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9628,7177

LCM of Fractions 9628/253,7177/2827 is 69100156/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 69100156

Least Common Multiple of 9628,7177 with GCF Formula

Least Common Multiple of 9628,7177 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 9628,7177 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9628,7177) = 1

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

GCF(9628,7177) x common factors =1 x 1 = 1

LCM(9628,7177) = ( 9628 × 7177 ) / 1

LCM(9628,7177) = 69100156 / 1

LCM(9628,7177) = 69100156


Lets's calculate GCF of 253,2827

11 253, 2827
23, 257

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69100156/11

Therefore the LCM of Fractions 9628/253,7177/2827 is 69100156/11

Greatest Common Factor of 253,2827 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,2827 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 2827

List of positive integer factors of 2827 that divides 2827 without a remainder.

1,11,257,2827

Greatest Common Factor

We found the factors 253,2827 . The biggest common factor number is the GCF number.
So the greatest common factor 253,2827 is 11.


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 9628/253, 7177/2827

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 9628/253, 7177/2827?

Answer: LCM of Numerators as per given numbers 9628/253, 7177/2827 is

LCM of Numerators i.e. for 9628,7177 is 69100156

GCF of denominators i.e. for 253,2827 is 11.

Thus, LCM of Fractions is 69100156/11.Finally, LCM of Fractions for 9628/253, 7177/2827 is 69100156/11.