Least Common Multiple of 43/20, 14/92, 466/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/20, 14/92, 466/724 quickly i.e. 140266/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/20, 14/92, 466/724 is 140266/4.

LCM(43/20, 14/92, 466/724) = 140266/4

LCM of 43/20, 14/92, 466/724

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 43/20,14/92,466/724

Given numbers are 43/20,14/92,466/724

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 43,14,466

Least Common Multiple of Numerators i.e. LCM of 43,14,466 is 140266.

GCF of Denominators means GCF of 20,92,724 as per the given fractions.

GCF of 20,92,724 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,14,466

LCM of Fractions 43/20,14/92,466/724 is 140266/4

2 43, 14, 466
43, 7, 233

∴ So the LCM of the given numbers is 2 x 43 x 7 x 233 = 140266

Least Common Multiple of 43,14,466 with GCF Formula

Least Common Multiple of 43,14,466 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 43,14,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,14,466) = 1

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

GCF(43,14,466) x common factors =1 x 2 = 2

LCM(43,14,466) = ( 43 × 14 × 466 ) / 2

LCM(43,14,466) = 280532 / 2

LCM(43,14,466) = 140266


Lets's calculate GCF of 20,92,724

2 20, 92, 724
2 10, 46, 362
5, 23, 181

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140266/4

Therefore the LCM of Fractions 43/20,14/92,466/724 is 140266/4

Greatest Common Factor of 20,92,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,92,724 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 20,92,724 . The biggest common factor number is the GCF number.
So the greatest common factor 20,92,724 is 4.


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 43/20, 14/92, 466/724

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 43/20, 14/92, 466/724?

Answer: LCM of Numerators as per given numbers 43/20, 14/92, 466/724 is

LCM of Numerators i.e. for 43,14,466 is 140266

GCF of denominators i.e. for 20,92,724 is 4.

Thus, LCM of Fractions is 140266/4.Finally, LCM of Fractions for 43/20, 14/92, 466/724 is 140266/4.