Least Common Multiple of 94/41, 72/18, 74/80, 12/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/41, 72/18, 74/80, 12/827 quickly i.e. 125208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/41, 72/18, 74/80, 12/827 is 125208.

LCM(94/41, 72/18, 74/80, 12/827) = 125208

LCM of 94/41, 72/18, 74/80, 12/827

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 94/41,72/18,74/80,12/827

Given numbers are 94/41,72/18,74/80,12/827

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 94,72,74,12

Least Common Multiple of Numerators i.e. LCM of 94,72,74,12 is 125208.

GCF of Denominators means GCF of 41,18,80,827 as per the given fractions.

GCF of 41,18,80,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,72,74,12

LCM of Fractions 94/41,72/18,74/80,12/827 is 125208

2 94, 72, 74, 12
2 47, 36, 37, 6
3 47, 18, 37, 3
47, 6, 37, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 6 x 37 x 1 = 125208

Least Common Multiple of 94,72,74,12 with GCF Formula

Least Common Multiple of 94,72,74,12 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 94,72,74,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,72,74,12) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(94,72,74,12) x common factors =2 x 24 = 48

LCM(94,72,74,12) = ( 94 × 72 × 74 × 12 ) / 48

LCM(94,72,74,12) = 6009984 / 48

LCM(94,72,74,12) = 125208


Lets's calculate GCF of 41,18,80,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125208/1

Therefore the LCM of Fractions 94/41,72/18,74/80,12/827 is 125208

Greatest Common Factor of 41,18,80,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,18,80,827 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

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 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 41,18,80,827 . The biggest common factor number is the GCF number.
So the greatest common factor 41,18,80,827 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 94/41, 72/18, 74/80, 12/827

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 94/41, 72/18, 74/80, 12/827?

Answer: LCM of Numerators as per given numbers 94/41, 72/18, 74/80, 12/827 is

LCM of Numerators i.e. for 94,72,74,12 is 125208

GCF of denominators i.e. for 41,18,80,827 is 1.

Thus, LCM of Fractions is 125208.Finally, LCM of Fractions for 94/41, 72/18, 74/80, 12/827 is 125208.