Least Common Multiple of 20/951, 9536/1742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/951, 9536/1742 quickly i.e. 47680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/951, 9536/1742 is 47680.

LCM(20/951, 9536/1742) = 47680

LCM of 20/951, 9536/1742

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 20/951,9536/1742

Given numbers are 20/951,9536/1742

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 20,9536

Least Common Multiple of Numerators i.e. LCM of 20,9536 is 47680.

GCF of Denominators means GCF of 951,1742 as per the given fractions.

GCF of 951,1742 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,9536

LCM of Fractions 20/951,9536/1742 is 47680

2 20, 9536
2 10, 4768
5, 2384

∴ So the LCM of the given numbers is 2 x 2 x 5 x 2384 = 47680

Least Common Multiple of 20,9536 with GCF Formula

Least Common Multiple of 20,9536 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 20,9536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,9536) = 4

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

GCF(20,9536) x common factors =4 x 1 = 4

LCM(20,9536) = ( 20 × 9536 ) / 4

LCM(20,9536) = 190720 / 4

LCM(20,9536) = 47680


Lets's calculate GCF of 951,1742

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47680/1

Therefore the LCM of Fractions 20/951,9536/1742 is 47680

Greatest Common Factor of 951,1742 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,1742 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 1742

List of positive integer factors of 1742 that divides 1742 without a remainder.

1,2,13,26,67,134,871,1742

Greatest Common Factor

We found the factors 951,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 951,1742 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 20/951, 9536/1742

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 20/951, 9536/1742?

Answer: LCM of Numerators as per given numbers 20/951, 9536/1742 is

LCM of Numerators i.e. for 20,9536 is 47680

GCF of denominators i.e. for 951,1742 is 1.

Thus, LCM of Fractions is 47680.Finally, LCM of Fractions for 20/951, 9536/1742 is 47680.