Least Common Multiple of 43/22, 13/35, 59/80, 75/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/22, 13/35, 59/80, 75/817 quickly i.e. 2473575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/22, 13/35, 59/80, 75/817 is 2473575.

LCM(43/22, 13/35, 59/80, 75/817) = 2473575

LCM of 43/22, 13/35, 59/80, 75/817

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 43/22,13/35,59/80,75/817

Given numbers are 43/22,13/35,59/80,75/817

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 43,13,59,75

Least Common Multiple of Numerators i.e. LCM of 43,13,59,75 is 2473575.

GCF of Denominators means GCF of 22,35,80,817 as per the given fractions.

GCF of 22,35,80,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,13,59,75

LCM of Fractions 43/22,13/35,59/80,75/817 is 2473575

Given numbers has no common factors except 1. So, there LCM is their product i.e 2473575

Least Common Multiple of 43,13,59,75 with GCF Formula

Least Common Multiple of 43,13,59,75 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 43,13,59,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,13,59,75) = 1

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

GCF(43,13,59,75) x common factors =1 x 1 = 1

LCM(43,13,59,75) = ( 43 × 13 × 59 × 75 ) / 1

LCM(43,13,59,75) = 2473575 / 1

LCM(43,13,59,75) = 2473575


Lets's calculate GCF of 22,35,80,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2473575/1

Therefore the LCM of Fractions 43/22,13/35,59/80,75/817 is 2473575

Greatest Common Factor of 22,35,80,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,35,80,817 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 22,35,80,817 . The biggest common factor number is the GCF number.
So the greatest common factor 22,35,80,817 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 43/22, 13/35, 59/80, 75/817

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 43/22, 13/35, 59/80, 75/817?

Answer: LCM of Numerators as per given numbers 43/22, 13/35, 59/80, 75/817 is

LCM of Numerators i.e. for 43,13,59,75 is 2473575

GCF of denominators i.e. for 22,35,80,817 is 1.

Thus, LCM of Fractions is 2473575.Finally, LCM of Fractions for 43/22, 13/35, 59/80, 75/817 is 2473575.