Least Common Multiple of 72/94, 50/10, 10/46, 47/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/94, 50/10, 10/46, 47/948 quickly i.e. 42300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/94, 50/10, 10/46, 47/948 is 42300.

LCM(72/94, 50/10, 10/46, 47/948) = 42300

LCM of 72/94, 50/10, 10/46, 47/948

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 72/94,50/10,10/46,47/948

Given numbers are 72/94,50/10,10/46,47/948

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 72,50,10,47

Least Common Multiple of Numerators i.e. LCM of 72,50,10,47 is 84600.

GCF of Denominators means GCF of 94,10,46,948 as per the given fractions.

GCF of 94,10,46,948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,50,10,47

LCM of Fractions 72/94,50/10,10/46,47/948 is 42300

2 72, 50, 10, 47
5 36, 25, 5, 47
36, 1, 5, 47

∴ So the LCM of the given numbers is 2 x 5 x 36 x 1 x 5 x 47 = 84600

Least Common Multiple of 72,50,10,47 with GCF Formula

Least Common Multiple of 72,50,10,47 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 72,50,10,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,50,10,47) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(72,50,10,47) x common factors =1 x 20 = 20

LCM(72,50,10,47) = ( 72 × 50 × 10 × 47 ) / 20

LCM(72,50,10,47) = 1692000 / 20

LCM(72,50,10,47) = 84600


Lets's calculate GCF of 94,10,46,948

2 94, 10, 46, 948
47, 5, 23, 474

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84600/2

Therefore the LCM of Fractions 72/94,50/10,10/46,47/948 is 42300

Greatest Common Factor of 94,10,46,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,10,46,948 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 46

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

1,2,23,46

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 94,10,46,948 . The biggest common factor number is the GCF number.
So the greatest common factor 94,10,46,948 is 2.


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 72/94, 50/10, 10/46, 47/948

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 72/94, 50/10, 10/46, 47/948?

Answer: LCM of Numerators as per given numbers 72/94, 50/10, 10/46, 47/948 is

LCM of Numerators i.e. for 72,50,10,47 is 84600

GCF of denominators i.e. for 94,10,46,948 is 2.

Thus, LCM of Fractions is 42300.Finally, LCM of Fractions for 72/94, 50/10, 10/46, 47/948 is 42300.