Least Common Multiple of 18/31, 71/15, 45/94, 23/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/31, 71/15, 45/94, 23/501 quickly i.e. 146970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/31, 71/15, 45/94, 23/501 is 146970.

LCM(18/31, 71/15, 45/94, 23/501) = 146970

LCM of 18/31, 71/15, 45/94, 23/501

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 18/31,71/15,45/94,23/501

Given numbers are 18/31,71/15,45/94,23/501

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 18,71,45,23

Least Common Multiple of Numerators i.e. LCM of 18,71,45,23 is 146970.

GCF of Denominators means GCF of 31,15,94,501 as per the given fractions.

GCF of 31,15,94,501 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,71,45,23

LCM of Fractions 18/31,71/15,45/94,23/501 is 146970

3 18, 71, 45, 23
3 6, 71, 15, 23
2, 71, 5, 23

∴ So the LCM of the given numbers is 3 x 3 x 2 x 71 x 5 x 23 = 146970

Least Common Multiple of 18,71,45,23 with GCF Formula

Least Common Multiple of 18,71,45,23 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 18,71,45,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,71,45,23) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(18,71,45,23) x common factors =1 x 9 = 9

LCM(18,71,45,23) = ( 18 × 71 × 45 × 23 ) / 9

LCM(18,71,45,23) = 1322730 / 9

LCM(18,71,45,23) = 146970


Lets's calculate GCF of 31,15,94,501

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146970/1

Therefore the LCM of Fractions 18/31,71/15,45/94,23/501 is 146970

Greatest Common Factor of 31,15,94,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,15,94,501 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 15

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

1,3,5,15

Factors of 94

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

1,2,47,94

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 31,15,94,501 . The biggest common factor number is the GCF number.
So the greatest common factor 31,15,94,501 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 18/31, 71/15, 45/94, 23/501

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 18/31, 71/15, 45/94, 23/501?

Answer: LCM of Numerators as per given numbers 18/31, 71/15, 45/94, 23/501 is

LCM of Numerators i.e. for 18,71,45,23 is 146970

GCF of denominators i.e. for 31,15,94,501 is 1.

Thus, LCM of Fractions is 146970.Finally, LCM of Fractions for 18/31, 71/15, 45/94, 23/501 is 146970.