Least Common Multiple of 2297/650, 8155/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2297/650, 8155/975 quickly i.e. 18732035/325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2297/650, 8155/975 is 18732035/325.

LCM(2297/650, 8155/975) = 18732035/325

LCM of 2297/650, 8155/975

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 2297/650,8155/975

Given numbers are 2297/650,8155/975

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 2297,8155

Least Common Multiple of Numerators i.e. LCM of 2297,8155 is 18732035.

GCF of Denominators means GCF of 650,975 as per the given fractions.

GCF of 650,975 is 325 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2297,8155

LCM of Fractions 2297/650,8155/975 is 18732035/325

Given numbers has no common factors except 1. So, there LCM is their product i.e 18732035

Least Common Multiple of 2297,8155 with GCF Formula

Least Common Multiple of 2297,8155 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 2297,8155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2297,8155) = 1

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

GCF(2297,8155) x common factors =1 x 1 = 1

LCM(2297,8155) = ( 2297 × 8155 ) / 1

LCM(2297,8155) = 18732035 / 1

LCM(2297,8155) = 18732035


Lets's calculate GCF of 650,975

5 650, 975
5 130, 195
13 26, 39
2, 3

∴ So the GCF of the given numbers is 5 x 5 x 13 = 325

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18732035/325

Therefore the LCM of Fractions 2297/650,8155/975 is 18732035/325

Greatest Common Factor of 650,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,975 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 650,975 . The biggest common factor number is the GCF number.
So the greatest common factor 650,975 is 325.


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 2297/650, 8155/975

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 2297/650, 8155/975?

Answer: LCM of Numerators as per given numbers 2297/650, 8155/975 is

LCM of Numerators i.e. for 2297,8155 is 18732035

GCF of denominators i.e. for 650,975 is 325.

Thus, LCM of Fractions is 18732035/325.Finally, LCM of Fractions for 2297/650, 8155/975 is 18732035/325.