Least Common Multiple of 46/72, 78/56, 60/89, 23/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/72, 78/56, 60/89, 23/129 quickly i.e. 17940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/72, 78/56, 60/89, 23/129 is 17940.

LCM(46/72, 78/56, 60/89, 23/129) = 17940

LCM of 46/72, 78/56, 60/89, 23/129

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 46/72,78/56,60/89,23/129

Given numbers are 46/72,78/56,60/89,23/129

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 46,78,60,23

Least Common Multiple of Numerators i.e. LCM of 46,78,60,23 is 17940.

GCF of Denominators means GCF of 72,56,89,129 as per the given fractions.

GCF of 72,56,89,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,78,60,23

LCM of Fractions 46/72,78/56,60/89,23/129 is 17940

2 46, 78, 60, 23
3 23, 39, 30, 23
23 23, 13, 10, 23
1, 13, 10, 1

∴ So the LCM of the given numbers is 2 x 3 x 23 x 1 x 13 x 10 x 1 = 17940

Least Common Multiple of 46,78,60,23 with GCF Formula

Least Common Multiple of 46,78,60,23 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 46,78,60,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,78,60,23) = 1

common factors(in case of two or more numbers have common factors) = 276

GCF(46,78,60,23) x common factors =1 x 276 = 276

LCM(46,78,60,23) = ( 46 × 78 × 60 × 23 ) / 276

LCM(46,78,60,23) = 4951440 / 276

LCM(46,78,60,23) = 17940


Lets's calculate GCF of 72,56,89,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17940/1

Therefore the LCM of Fractions 46/72,78/56,60/89,23/129 is 17940

Greatest Common Factor of 72,56,89,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,56,89,129 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 89

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

1,89

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 72,56,89,129 . The biggest common factor number is the GCF number.
So the greatest common factor 72,56,89,129 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 46/72, 78/56, 60/89, 23/129

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 46/72, 78/56, 60/89, 23/129?

Answer: LCM of Numerators as per given numbers 46/72, 78/56, 60/89, 23/129 is

LCM of Numerators i.e. for 46,78,60,23 is 17940

GCF of denominators i.e. for 72,56,89,129 is 1.

Thus, LCM of Fractions is 17940.Finally, LCM of Fractions for 46/72, 78/56, 60/89, 23/129 is 17940.