Least Common Multiple of 15/522, 9674/5655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/522, 9674/5655 quickly i.e. 145110/87 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/522, 9674/5655 is 145110/87.

LCM(15/522, 9674/5655) = 145110/87

LCM of 15/522, 9674/5655

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 15/522,9674/5655

Given numbers are 15/522,9674/5655

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 15,9674

Least Common Multiple of Numerators i.e. LCM of 15,9674 is 145110.

GCF of Denominators means GCF of 522,5655 as per the given fractions.

GCF of 522,5655 is 87 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,9674

LCM of Fractions 15/522,9674/5655 is 145110/87

Given numbers has no common factors except 1. So, there LCM is their product i.e 145110

Least Common Multiple of 15,9674 with GCF Formula

Least Common Multiple of 15,9674 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 15,9674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,9674) = 1

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

GCF(15,9674) x common factors =1 x 1 = 1

LCM(15,9674) = ( 15 × 9674 ) / 1

LCM(15,9674) = 145110 / 1

LCM(15,9674) = 145110


Lets's calculate GCF of 522,5655

3 522, 5655
29 174, 1885
6, 65

∴ So the GCF of the given numbers is 3 x 29 = 87

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145110/87

Therefore the LCM of Fractions 15/522,9674/5655 is 145110/87

Greatest Common Factor of 522,5655 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,5655 By Matching Biggest Common Factor Method

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

Factors of 5655

List of positive integer factors of 5655 that divides 5655 without a remainder.

1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655

Greatest Common Factor

We found the factors 522,5655 . The biggest common factor number is the GCF number.
So the greatest common factor 522,5655 is 87.


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 15/522, 9674/5655

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 15/522, 9674/5655?

Answer: LCM of Numerators as per given numbers 15/522, 9674/5655 is

LCM of Numerators i.e. for 15,9674 is 145110

GCF of denominators i.e. for 522,5655 is 87.

Thus, LCM of Fractions is 145110/87.Finally, LCM of Fractions for 15/522, 9674/5655 is 145110/87.