Least Common Multiple of 72/23, 81/46, 50/70, 35/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/23, 81/46, 50/70, 35/208 quickly i.e. 113400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/23, 81/46, 50/70, 35/208 is 113400.

LCM(72/23, 81/46, 50/70, 35/208) = 113400

LCM of 72/23, 81/46, 50/70, 35/208

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 72/23,81/46,50/70,35/208

Given numbers are 72/23,81/46,50/70,35/208

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 72,81,50,35

Least Common Multiple of Numerators i.e. LCM of 72,81,50,35 is 113400.

GCF of Denominators means GCF of 23,46,70,208 as per the given fractions.

GCF of 23,46,70,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,81,50,35

LCM of Fractions 72/23,81/46,50/70,35/208 is 113400

2 72, 81, 50, 35
3 36, 81, 25, 35
3 12, 27, 25, 35
5 4, 9, 25, 35
4, 9, 5, 7

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 4 x 9 x 5 x 7 = 113400

Least Common Multiple of 72,81,50,35 with GCF Formula

Least Common Multiple of 72,81,50,35 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 72,81,50,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,81,50,35) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(72,81,50,35) x common factors =1 x 90 = 90

LCM(72,81,50,35) = ( 72 × 81 × 50 × 35 ) / 90

LCM(72,81,50,35) = 10206000 / 90

LCM(72,81,50,35) = 113400


Lets's calculate GCF of 23,46,70,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113400/1

Therefore the LCM of Fractions 72/23,81/46,50/70,35/208 is 113400

Greatest Common Factor of 23,46,70,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,46,70,208 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

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 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 23,46,70,208 . The biggest common factor number is the GCF number.
So the greatest common factor 23,46,70,208 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 72/23, 81/46, 50/70, 35/208

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 72/23, 81/46, 50/70, 35/208?

Answer: LCM of Numerators as per given numbers 72/23, 81/46, 50/70, 35/208 is

LCM of Numerators i.e. for 72,81,50,35 is 113400

GCF of denominators i.e. for 23,46,70,208 is 1.

Thus, LCM of Fractions is 113400.Finally, LCM of Fractions for 72/23, 81/46, 50/70, 35/208 is 113400.