Least Common Multiple of 946/20, 564/2744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/20, 564/2744 quickly i.e. 66693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/20, 564/2744 is 66693.

LCM(946/20, 564/2744) = 66693

LCM of 946/20, 564/2744

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 946/20,564/2744

Given numbers are 946/20,564/2744

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 946,564

Least Common Multiple of Numerators i.e. LCM of 946,564 is 266772.

GCF of Denominators means GCF of 20,2744 as per the given fractions.

GCF of 20,2744 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,564

LCM of Fractions 946/20,564/2744 is 66693

2 946, 564
473, 282

∴ So the LCM of the given numbers is 2 x 473 x 282 = 266772

Least Common Multiple of 946,564 with GCF Formula

Least Common Multiple of 946,564 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 946,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,564) = 2

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

GCF(946,564) x common factors =2 x 1 = 2

LCM(946,564) = ( 946 × 564 ) / 2

LCM(946,564) = 533544 / 2

LCM(946,564) = 266772


Lets's calculate GCF of 20,2744

2 20, 2744
2 10, 1372
5, 686

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 266772/4

Therefore the LCM of Fractions 946/20,564/2744 is 66693

Greatest Common Factor of 20,2744 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,2744 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 2744

List of positive integer factors of 2744 that divides 2744 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,343,392,686,1372,2744

Greatest Common Factor

We found the factors 20,2744 . The biggest common factor number is the GCF number.
So the greatest common factor 20,2744 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 946/20, 564/2744

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 946/20, 564/2744?

Answer: LCM of Numerators as per given numbers 946/20, 564/2744 is

LCM of Numerators i.e. for 946,564 is 266772

GCF of denominators i.e. for 20,2744 is 4.

Thus, LCM of Fractions is 66693.Finally, LCM of Fractions for 946/20, 564/2744 is 66693.