Least Common Multiple of 47/85, 79/70, 32/81, 18/122

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/85, 79/70, 32/81, 18/122 quickly i.e. 1069344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/85, 79/70, 32/81, 18/122 is 1069344.

LCM(47/85, 79/70, 32/81, 18/122) = 1069344

LCM of 47/85, 79/70, 32/81, 18/122

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 47/85,79/70,32/81,18/122

Given numbers are 47/85,79/70,32/81,18/122

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 47,79,32,18

Least Common Multiple of Numerators i.e. LCM of 47,79,32,18 is 1069344.

GCF of Denominators means GCF of 85,70,81,122 as per the given fractions.

GCF of 85,70,81,122 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,79,32,18

LCM of Fractions 47/85,79/70,32/81,18/122 is 1069344

2 47, 79, 32, 18
47, 79, 16, 9

∴ So the LCM of the given numbers is 2 x 47 x 79 x 16 x 9 = 1069344

Least Common Multiple of 47,79,32,18 with GCF Formula

Least Common Multiple of 47,79,32,18 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 47,79,32,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,79,32,18) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(47,79,32,18) x common factors =1 x 2 = 2

LCM(47,79,32,18) = ( 47 × 79 × 32 × 18 ) / 2

LCM(47,79,32,18) = 2138688 / 2

LCM(47,79,32,18) = 1069344


Lets's calculate GCF of 85,70,81,122

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1069344/1

Therefore the LCM of Fractions 47/85,79/70,32/81,18/122 is 1069344

Greatest Common Factor of 85,70,81,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,70,81,122 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 85,70,81,122 . The biggest common factor number is the GCF number.
So the greatest common factor 85,70,81,122 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 47/85, 79/70, 32/81, 18/122

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 47/85, 79/70, 32/81, 18/122?

Answer: LCM of Numerators as per given numbers 47/85, 79/70, 32/81, 18/122 is

LCM of Numerators i.e. for 47,79,32,18 is 1069344

GCF of denominators i.e. for 85,70,81,122 is 1.

Thus, LCM of Fractions is 1069344.Finally, LCM of Fractions for 47/85, 79/70, 32/81, 18/122 is 1069344.