Least Common Multiple of 59/128, 197/542, 516/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/128, 197/542, 516/180 quickly i.e. 2998734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/128, 197/542, 516/180 is 2998734.

LCM(59/128, 197/542, 516/180) = 2998734

LCM of 59/128, 197/542, 516/180

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 59/128,197/542,516/180

Given numbers are 59/128,197/542,516/180

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 59,197,516

Least Common Multiple of Numerators i.e. LCM of 59,197,516 is 5997468.

GCF of Denominators means GCF of 128,542,180 as per the given fractions.

GCF of 128,542,180 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,197,516

LCM of Fractions 59/128,197/542,516/180 is 2998734

Given numbers has no common factors except 1. So, there LCM is their product i.e 5997468

Least Common Multiple of 59,197,516 with GCF Formula

Least Common Multiple of 59,197,516 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 59,197,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,197,516) = 1

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

GCF(59,197,516) x common factors =1 x 1 = 1

LCM(59,197,516) = ( 59 × 197 × 516 ) / 1

LCM(59,197,516) = 5997468 / 1

LCM(59,197,516) = 5997468


Lets's calculate GCF of 128,542,180

2 128, 542, 180
64, 271, 90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5997468/2

Therefore the LCM of Fractions 59/128,197/542,516/180 is 2998734

Greatest Common Factor of 128,542,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,542,180 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 128,542,180 . The biggest common factor number is the GCF number.
So the greatest common factor 128,542,180 is 2.


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 59/128, 197/542, 516/180

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 59/128, 197/542, 516/180?

Answer: LCM of Numerators as per given numbers 59/128, 197/542, 516/180 is

LCM of Numerators i.e. for 59,197,516 is 5997468

GCF of denominators i.e. for 128,542,180 is 2.

Thus, LCM of Fractions is 2998734.Finally, LCM of Fractions for 59/128, 197/542, 516/180 is 2998734.