Least Common Multiple of 100/29, 596/7075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 100/29, 596/7075 quickly i.e. 14900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 100/29, 596/7075 is 14900.

LCM(100/29, 596/7075) = 14900

LCM of 100/29, 596/7075

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 100/29,596/7075

Given numbers are 100/29,596/7075

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 100,596

Least Common Multiple of Numerators i.e. LCM of 100,596 is 14900.

GCF of Denominators means GCF of 29,7075 as per the given fractions.

GCF of 29,7075 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 100,596

LCM of Fractions 100/29,596/7075 is 14900

2 100, 596
2 50, 298
25, 149

∴ So the LCM of the given numbers is 2 x 2 x 25 x 149 = 14900

Least Common Multiple of 100,596 with GCF Formula

Least Common Multiple of 100,596 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 100,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,596) = 4

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

GCF(100,596) x common factors =4 x 1 = 4

LCM(100,596) = ( 100 × 596 ) / 4

LCM(100,596) = 59600 / 4

LCM(100,596) = 14900


Lets's calculate GCF of 29,7075

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14900/1

Therefore the LCM of Fractions 100/29,596/7075 is 14900

Greatest Common Factor of 29,7075 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,7075 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 7075

List of positive integer factors of 7075 that divides 7075 without a remainder.

1,5,25,283,1415,7075

Greatest Common Factor

We found the factors 29,7075 . The biggest common factor number is the GCF number.
So the greatest common factor 29,7075 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 100/29, 596/7075

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 100/29, 596/7075?

Answer: LCM of Numerators as per given numbers 100/29, 596/7075 is

LCM of Numerators i.e. for 100,596 is 14900

GCF of denominators i.e. for 29,7075 is 1.

Thus, LCM of Fractions is 14900.Finally, LCM of Fractions for 100/29, 596/7075 is 14900.