Least Common Multiple of 94/15, 31/17, 41/39, 30/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 94/15, 31/17, 41/39, 30/525 quickly i.e. 1792110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/15, 31/17, 41/39, 30/525 is 1792110.

LCM(94/15, 31/17, 41/39, 30/525) = 1792110

LCM of 94/15, 31/17, 41/39, 30/525

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 94/15,31/17,41/39,30/525

Given numbers are 94/15,31/17,41/39,30/525

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 94,31,41,30

Least Common Multiple of Numerators i.e. LCM of 94,31,41,30 is 1792110.

GCF of Denominators means GCF of 15,17,39,525 as per the given fractions.

GCF of 15,17,39,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,31,41,30

LCM of Fractions 94/15,31/17,41/39,30/525 is 1792110

2 94, 31, 41, 30
47, 31, 41, 15

∴ So the LCM of the given numbers is 2 x 47 x 31 x 41 x 15 = 1792110

Least Common Multiple of 94,31,41,30 with GCF Formula

Least Common Multiple of 94,31,41,30 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 94,31,41,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,31,41,30) = 1

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

GCF(94,31,41,30) x common factors =1 x 2 = 2

LCM(94,31,41,30) = ( 94 × 31 × 41 × 30 ) / 2

LCM(94,31,41,30) = 3584220 / 2

LCM(94,31,41,30) = 1792110


Lets's calculate GCF of 15,17,39,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1792110/1

Therefore the LCM of Fractions 94/15,31/17,41/39,30/525 is 1792110

Greatest Common Factor of 15,17,39,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,17,39,525 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 15,17,39,525 . The biggest common factor number is the GCF number.
So the greatest common factor 15,17,39,525 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 94/15, 31/17, 41/39, 30/525

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 94/15, 31/17, 41/39, 30/525?

Answer: LCM of Numerators as per given numbers 94/15, 31/17, 41/39, 30/525 is

LCM of Numerators i.e. for 94,31,41,30 is 1792110

GCF of denominators i.e. for 15,17,39,525 is 1.

Thus, LCM of Fractions is 1792110.Finally, LCM of Fractions for 94/15, 31/17, 41/39, 30/525 is 1792110.