Least Common Multiple of 5975/108, 8207/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5975/108, 8207/522 quickly i.e. 49036825/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5975/108, 8207/522 is 49036825/18.

LCM(5975/108, 8207/522) = 49036825/18

LCM of 5975/108, 8207/522

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 5975/108,8207/522

Given numbers are 5975/108,8207/522

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 5975,8207

Least Common Multiple of Numerators i.e. LCM of 5975,8207 is 49036825.

GCF of Denominators means GCF of 108,522 as per the given fractions.

GCF of 108,522 is 18 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5975,8207

LCM of Fractions 5975/108,8207/522 is 49036825/18

Given numbers has no common factors except 1. So, there LCM is their product i.e 49036825

Least Common Multiple of 5975,8207 with GCF Formula

Least Common Multiple of 5975,8207 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 5975,8207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5975,8207) = 1

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

GCF(5975,8207) x common factors =1 x 1 = 1

LCM(5975,8207) = ( 5975 × 8207 ) / 1

LCM(5975,8207) = 49036825 / 1

LCM(5975,8207) = 49036825


Lets's calculate GCF of 108,522

2 108, 522
3 54, 261
3 18, 87
6, 29

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49036825/18

Therefore the LCM of Fractions 5975/108,8207/522 is 49036825/18

Greatest Common Factor of 108,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,522 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 108,522 . The biggest common factor number is the GCF number.
So the greatest common factor 108,522 is 18.


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 5975/108, 8207/522

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 5975/108, 8207/522?

Answer: LCM of Numerators as per given numbers 5975/108, 8207/522 is

LCM of Numerators i.e. for 5975,8207 is 49036825

GCF of denominators i.e. for 108,522 is 18.

Thus, LCM of Fractions is 49036825/18.Finally, LCM of Fractions for 5975/108, 8207/522 is 49036825/18.