Least Common Multiple of 39/20, 810/93, 902/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 39/20, 810/93, 902/494 quickly i.e. 4749030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/20, 810/93, 902/494 is 4749030.

LCM(39/20, 810/93, 902/494) = 4749030

LCM of 39/20, 810/93, 902/494

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 39/20,810/93,902/494

Given numbers are 39/20,810/93,902/494

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 39,810,902

Least Common Multiple of Numerators i.e. LCM of 39,810,902 is 4749030.

GCF of Denominators means GCF of 20,93,494 as per the given fractions.

GCF of 20,93,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,810,902

LCM of Fractions 39/20,810/93,902/494 is 4749030

2 39, 810, 902
3 39, 405, 451
13, 135, 451

∴ So the LCM of the given numbers is 2 x 3 x 13 x 135 x 451 = 4749030

Least Common Multiple of 39,810,902 with GCF Formula

Least Common Multiple of 39,810,902 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 39,810,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,810,902) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(39,810,902) x common factors =1 x 6 = 6

LCM(39,810,902) = ( 39 × 810 × 902 ) / 6

LCM(39,810,902) = 28494180 / 6

LCM(39,810,902) = 4749030


Lets's calculate GCF of 20,93,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4749030/1

Therefore the LCM of Fractions 39/20,810/93,902/494 is 4749030

Greatest Common Factor of 20,93,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,93,494 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 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 20,93,494 . The biggest common factor number is the GCF number.
So the greatest common factor 20,93,494 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 39/20, 810/93, 902/494

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 39/20, 810/93, 902/494?

Answer: LCM of Numerators as per given numbers 39/20, 810/93, 902/494 is

LCM of Numerators i.e. for 39,810,902 is 4749030

GCF of denominators i.e. for 20,93,494 is 1.

Thus, LCM of Fractions is 4749030.Finally, LCM of Fractions for 39/20, 810/93, 902/494 is 4749030.