Least Common Multiple of 516/41, 8000/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/41, 8000/175 quickly i.e. 1032000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/41, 8000/175 is 1032000.

LCM(516/41, 8000/175) = 1032000

LCM of 516/41, 8000/175

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 516/41,8000/175

Given numbers are 516/41,8000/175

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 516,8000

Least Common Multiple of Numerators i.e. LCM of 516,8000 is 1032000.

GCF of Denominators means GCF of 41,175 as per the given fractions.

GCF of 41,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,8000

LCM of Fractions 516/41,8000/175 is 1032000

2 516, 8000
2 258, 4000
129, 2000

∴ So the LCM of the given numbers is 2 x 2 x 129 x 2000 = 1032000

Least Common Multiple of 516,8000 with GCF Formula

Least Common Multiple of 516,8000 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 516,8000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,8000) = 4

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

GCF(516,8000) x common factors =4 x 1 = 4

LCM(516,8000) = ( 516 × 8000 ) / 4

LCM(516,8000) = 4128000 / 4

LCM(516,8000) = 1032000


Lets's calculate GCF of 41,175

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1032000/1

Therefore the LCM of Fractions 516/41,8000/175 is 1032000

Greatest Common Factor of 41,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,175 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 41,175 . The biggest common factor number is the GCF number.
So the greatest common factor 41,175 is 1.


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 516/41, 8000/175

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 516/41, 8000/175?

Answer: LCM of Numerators as per given numbers 516/41, 8000/175 is

LCM of Numerators i.e. for 516,8000 is 1032000

GCF of denominators i.e. for 41,175 is 1.

Thus, LCM of Fractions is 1032000.Finally, LCM of Fractions for 516/41, 8000/175 is 1032000.