Least Common Multiple of 43/19, 43/915, 913/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/19, 43/915, 913/175 quickly i.e. 39259 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/19, 43/915, 913/175 is 39259.

LCM(43/19, 43/915, 913/175) = 39259

LCM of 43/19, 43/915, 913/175

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 43/19,43/915,913/175

Given numbers are 43/19,43/915,913/175

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 43,43,913

Least Common Multiple of Numerators i.e. LCM of 43,43,913 is 39259.

GCF of Denominators means GCF of 19,915,175 as per the given fractions.

GCF of 19,915,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,43,913

LCM of Fractions 43/19,43/915,913/175 is 39259

43 43, 43, 913
1, 1, 913

∴ So the LCM of the given numbers is 43 x 1 x 1 x 913 = 39259

Least Common Multiple of 43,43,913 with GCF Formula

Least Common Multiple of 43,43,913 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 43,43,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,43,913) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(43,43,913) x common factors =1 x 43 = 43

LCM(43,43,913) = ( 43 × 43 × 913 ) / 43

LCM(43,43,913) = 1688137 / 43

LCM(43,43,913) = 39259


Lets's calculate GCF of 19,915,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39259/1

Therefore the LCM of Fractions 43/19,43/915,913/175 is 39259

Greatest Common Factor of 19,915,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,915,175 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

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 19,915,175 . The biggest common factor number is the GCF number.
So the greatest common factor 19,915,175 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 43/19, 43/915, 913/175

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 43/19, 43/915, 913/175?

Answer: LCM of Numerators as per given numbers 43/19, 43/915, 913/175 is

LCM of Numerators i.e. for 43,43,913 is 39259

GCF of denominators i.e. for 19,915,175 is 1.

Thus, LCM of Fractions is 39259.Finally, LCM of Fractions for 43/19, 43/915, 913/175 is 39259.