Least Common Multiple of 43/75, 35/20, 830/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/75, 35/20, 830/835 quickly i.e. 49966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/75, 35/20, 830/835 is 49966.

LCM(43/75, 35/20, 830/835) = 49966

LCM of 43/75, 35/20, 830/835

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 43/75,35/20,830/835

Given numbers are 43/75,35/20,830/835

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 43,35,830

Least Common Multiple of Numerators i.e. LCM of 43,35,830 is 249830.

GCF of Denominators means GCF of 75,20,835 as per the given fractions.

GCF of 75,20,835 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,35,830

LCM of Fractions 43/75,35/20,830/835 is 49966

5 43, 35, 830
43, 7, 166

∴ So the LCM of the given numbers is 5 x 43 x 7 x 166 = 249830

Least Common Multiple of 43,35,830 with GCF Formula

Least Common Multiple of 43,35,830 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 43,35,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,35,830) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(43,35,830) x common factors =1 x 5 = 5

LCM(43,35,830) = ( 43 × 35 × 830 ) / 5

LCM(43,35,830) = 1249150 / 5

LCM(43,35,830) = 249830


Lets's calculate GCF of 75,20,835

5 75, 20, 835
15, 4, 167

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249830/5

Therefore the LCM of Fractions 43/75,35/20,830/835 is 49966

Greatest Common Factor of 75,20,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,20,835 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 75,20,835 . The biggest common factor number is the GCF number.
So the greatest common factor 75,20,835 is 5.


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 43/75, 35/20, 830/835

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 43/75, 35/20, 830/835?

Answer: LCM of Numerators as per given numbers 43/75, 35/20, 830/835 is

LCM of Numerators i.e. for 43,35,830 is 249830

GCF of denominators i.e. for 75,20,835 is 5.

Thus, LCM of Fractions is 49966.Finally, LCM of Fractions for 43/75, 35/20, 830/835 is 49966.