Least Common Multiple of 20/466, 751/329, 626/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/466, 751/329, 626/890 quickly i.e. 4701260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/466, 751/329, 626/890 is 4701260.

LCM(20/466, 751/329, 626/890) = 4701260

LCM of 20/466, 751/329, 626/890

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 20/466,751/329,626/890

Given numbers are 20/466,751/329,626/890

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 20,751,626

Least Common Multiple of Numerators i.e. LCM of 20,751,626 is 4701260.

GCF of Denominators means GCF of 466,329,890 as per the given fractions.

GCF of 466,329,890 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,751,626

LCM of Fractions 20/466,751/329,626/890 is 4701260

2 20, 751, 626
10, 751, 313

∴ So the LCM of the given numbers is 2 x 10 x 751 x 313 = 4701260

Least Common Multiple of 20,751,626 with GCF Formula

Least Common Multiple of 20,751,626 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 20,751,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,751,626) = 1

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

GCF(20,751,626) x common factors =1 x 2 = 2

LCM(20,751,626) = ( 20 × 751 × 626 ) / 2

LCM(20,751,626) = 9402520 / 2

LCM(20,751,626) = 4701260


Lets's calculate GCF of 466,329,890

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4701260/1

Therefore the LCM of Fractions 20/466,751/329,626/890 is 4701260

Greatest Common Factor of 466,329,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,329,890 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 466,329,890 . The biggest common factor number is the GCF number.
So the greatest common factor 466,329,890 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 20/466, 751/329, 626/890

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 20/466, 751/329, 626/890?

Answer: LCM of Numerators as per given numbers 20/466, 751/329, 626/890 is

LCM of Numerators i.e. for 20,751,626 is 4701260

GCF of denominators i.e. for 466,329,890 is 1.

Thus, LCM of Fractions is 4701260.Finally, LCM of Fractions for 20/466, 751/329, 626/890 is 4701260.