Least Common Multiple of 52/172, 6501/6060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/172, 6501/6060 quickly i.e. 84513 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/172, 6501/6060 is 84513.

LCM(52/172, 6501/6060) = 84513

LCM of 52/172, 6501/6060

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 52/172,6501/6060

Given numbers are 52/172,6501/6060

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 52,6501

Least Common Multiple of Numerators i.e. LCM of 52,6501 is 338052.

GCF of Denominators means GCF of 172,6060 as per the given fractions.

GCF of 172,6060 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,6501

LCM of Fractions 52/172,6501/6060 is 84513

Given numbers has no common factors except 1. So, there LCM is their product i.e 338052

Least Common Multiple of 52,6501 with GCF Formula

Least Common Multiple of 52,6501 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 52,6501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,6501) = 1

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

GCF(52,6501) x common factors =1 x 1 = 1

LCM(52,6501) = ( 52 × 6501 ) / 1

LCM(52,6501) = 338052 / 1

LCM(52,6501) = 338052


Lets's calculate GCF of 172,6060

2 172, 6060
2 86, 3030
43, 1515

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338052/4

Therefore the LCM of Fractions 52/172,6501/6060 is 84513

Greatest Common Factor of 172,6060 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,6060 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 6060

List of positive integer factors of 6060 that divides 6060 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060

Greatest Common Factor

We found the factors 172,6060 . The biggest common factor number is the GCF number.
So the greatest common factor 172,6060 is 4.


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 52/172, 6501/6060

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 52/172, 6501/6060?

Answer: LCM of Numerators as per given numbers 52/172, 6501/6060 is

LCM of Numerators i.e. for 52,6501 is 338052

GCF of denominators i.e. for 172,6060 is 4.

Thus, LCM of Fractions is 84513.Finally, LCM of Fractions for 52/172, 6501/6060 is 84513.