Least Common Multiple of 59/91, 35/99, 43/75, 10/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/91, 35/99, 43/75, 10/312 quickly i.e. 177590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/91, 35/99, 43/75, 10/312 is 177590.

LCM(59/91, 35/99, 43/75, 10/312) = 177590

LCM of 59/91, 35/99, 43/75, 10/312

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 59/91,35/99,43/75,10/312

Given numbers are 59/91,35/99,43/75,10/312

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 59,35,43,10

Least Common Multiple of Numerators i.e. LCM of 59,35,43,10 is 177590.

GCF of Denominators means GCF of 91,99,75,312 as per the given fractions.

GCF of 91,99,75,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,35,43,10

LCM of Fractions 59/91,35/99,43/75,10/312 is 177590

5 59, 35, 43, 10
59, 7, 43, 2

∴ So the LCM of the given numbers is 5 x 59 x 7 x 43 x 2 = 177590

Least Common Multiple of 59,35,43,10 with GCF Formula

Least Common Multiple of 59,35,43,10 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 59,35,43,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,35,43,10) = 1

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

GCF(59,35,43,10) x common factors =1 x 5 = 5

LCM(59,35,43,10) = ( 59 × 35 × 43 × 10 ) / 5

LCM(59,35,43,10) = 887950 / 5

LCM(59,35,43,10) = 177590


Lets's calculate GCF of 91,99,75,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177590/1

Therefore the LCM of Fractions 59/91,35/99,43/75,10/312 is 177590

Greatest Common Factor of 91,99,75,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,99,75,312 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 75

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

1,3,5,15,25,75

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 91,99,75,312 . The biggest common factor number is the GCF number.
So the greatest common factor 91,99,75,312 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 59/91, 35/99, 43/75, 10/312

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 59/91, 35/99, 43/75, 10/312?

Answer: LCM of Numerators as per given numbers 59/91, 35/99, 43/75, 10/312 is

LCM of Numerators i.e. for 59,35,43,10 is 177590

GCF of denominators i.e. for 91,99,75,312 is 1.

Thus, LCM of Fractions is 177590.Finally, LCM of Fractions for 59/91, 35/99, 43/75, 10/312 is 177590.