Least Common Multiple of 3/23, 2/78, 5/89, 29/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/23, 2/78, 5/89, 29/494 quickly i.e. 870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/23, 2/78, 5/89, 29/494 is 870.

LCM(3/23, 2/78, 5/89, 29/494) = 870

LCM of 3/23, 2/78, 5/89, 29/494

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 3/23,2/78,5/89,29/494

Given numbers are 3/23,2/78,5/89,29/494

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 3,2,5,29

Least Common Multiple of Numerators i.e. LCM of 3,2,5,29 is 870.

GCF of Denominators means GCF of 23,78,89,494 as per the given fractions.

GCF of 23,78,89,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,2,5,29

LCM of Fractions 3/23,2/78,5/89,29/494 is 870

Given numbers has no common factors except 1. So, there LCM is their product i.e 870

Least Common Multiple of 3,2,5,29 with GCF Formula

Least Common Multiple of 3,2,5,29 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 3,2,5,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,2,5,29) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(3,2,5,29) x common factors =1 x 1 = 1

LCM(3,2,5,29) = ( 3 × 2 × 5 × 29 ) / 1

LCM(3,2,5,29) = 870 / 1

LCM(3,2,5,29) = 870


Lets's calculate GCF of 23,78,89,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 870/1

Therefore the LCM of Fractions 3/23,2/78,5/89,29/494 is 870

Greatest Common Factor of 23,78,89,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,78,89,494 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 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 23,78,89,494 . The biggest common factor number is the GCF number.
So the greatest common factor 23,78,89,494 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 3/23, 2/78, 5/89, 29/494

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 3/23, 2/78, 5/89, 29/494?

Answer: LCM of Numerators as per given numbers 3/23, 2/78, 5/89, 29/494 is

LCM of Numerators i.e. for 3,2,5,29 is 870

GCF of denominators i.e. for 23,78,89,494 is 1.

Thus, LCM of Fractions is 870.Finally, LCM of Fractions for 3/23, 2/78, 5/89, 29/494 is 870.