Least Common Multiple of 4020/66, 5379/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4020/66, 5379/320 quickly i.e. 3603930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4020/66, 5379/320 is 3603930.

LCM(4020/66, 5379/320) = 3603930

LCM of 4020/66, 5379/320

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 4020/66,5379/320

Given numbers are 4020/66,5379/320

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 4020,5379

Least Common Multiple of Numerators i.e. LCM of 4020,5379 is 7207860.

GCF of Denominators means GCF of 66,320 as per the given fractions.

GCF of 66,320 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4020,5379

LCM of Fractions 4020/66,5379/320 is 3603930

3 4020, 5379
1340, 1793

∴ So the LCM of the given numbers is 3 x 1340 x 1793 = 7207860

Least Common Multiple of 4020,5379 with GCF Formula

Least Common Multiple of 4020,5379 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 4020,5379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4020,5379) = 3

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

GCF(4020,5379) x common factors =3 x 1 = 3

LCM(4020,5379) = ( 4020 × 5379 ) / 3

LCM(4020,5379) = 21623580 / 3

LCM(4020,5379) = 7207860


Lets's calculate GCF of 66,320

2 66, 320
33, 160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7207860/2

Therefore the LCM of Fractions 4020/66,5379/320 is 3603930

Greatest Common Factor of 66,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,320 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 66,320 . The biggest common factor number is the GCF number.
So the greatest common factor 66,320 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4020/66, 5379/320

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 4020/66, 5379/320?

Answer: LCM of Numerators as per given numbers 4020/66, 5379/320 is

LCM of Numerators i.e. for 4020,5379 is 7207860

GCF of denominators i.e. for 66,320 is 2.

Thus, LCM of Fractions is 3603930.Finally, LCM of Fractions for 4020/66, 5379/320 is 3603930.