Least Common Multiple of 20/664, 478/76, 633/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/664, 478/76, 633/135 quickly i.e. 3025740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/664, 478/76, 633/135 is 3025740.

LCM(20/664, 478/76, 633/135) = 3025740

LCM of 20/664, 478/76, 633/135

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 20/664,478/76,633/135

Given numbers are 20/664,478/76,633/135

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 20,478,633

Least Common Multiple of Numerators i.e. LCM of 20,478,633 is 3025740.

GCF of Denominators means GCF of 664,76,135 as per the given fractions.

GCF of 664,76,135 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,478,633

LCM of Fractions 20/664,478/76,633/135 is 3025740

2 20, 478, 633
10, 239, 633

∴ So the LCM of the given numbers is 2 x 10 x 239 x 633 = 3025740

Least Common Multiple of 20,478,633 with GCF Formula

Least Common Multiple of 20,478,633 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 20,478,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,478,633) = 1

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

GCF(20,478,633) x common factors =1 x 2 = 2

LCM(20,478,633) = ( 20 × 478 × 633 ) / 2

LCM(20,478,633) = 6051480 / 2

LCM(20,478,633) = 3025740


Lets's calculate GCF of 664,76,135

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3025740/1

Therefore the LCM of Fractions 20/664,478/76,633/135 is 3025740

Greatest Common Factor of 664,76,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,76,135 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 664,76,135 . The biggest common factor number is the GCF number.
So the greatest common factor 664,76,135 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/664, 478/76, 633/135

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 20/664, 478/76, 633/135?

Answer: LCM of Numerators as per given numbers 20/664, 478/76, 633/135 is

LCM of Numerators i.e. for 20,478,633 is 3025740

GCF of denominators i.e. for 664,76,135 is 1.

Thus, LCM of Fractions is 3025740.Finally, LCM of Fractions for 20/664, 478/76, 633/135 is 3025740.