Least Common Multiple of 4490/806, 4543/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4490/806, 4543/780 quickly i.e. 20398070/26 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4490/806, 4543/780 is 20398070/26.

LCM(4490/806, 4543/780) = 20398070/26

LCM of 4490/806, 4543/780

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 4490/806,4543/780

Given numbers are 4490/806,4543/780

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 4490,4543

Least Common Multiple of Numerators i.e. LCM of 4490,4543 is 20398070.

GCF of Denominators means GCF of 806,780 as per the given fractions.

GCF of 806,780 is 26 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4490,4543

LCM of Fractions 4490/806,4543/780 is 20398070/26

Given numbers has no common factors except 1. So, there LCM is their product i.e 20398070

Least Common Multiple of 4490,4543 with GCF Formula

Least Common Multiple of 4490,4543 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 4490,4543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4490,4543) = 1

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

GCF(4490,4543) x common factors =1 x 1 = 1

LCM(4490,4543) = ( 4490 × 4543 ) / 1

LCM(4490,4543) = 20398070 / 1

LCM(4490,4543) = 20398070


Lets's calculate GCF of 806,780

2 806, 780
13 403, 390
31, 30

∴ So the GCF of the given numbers is 2 x 13 = 26

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20398070/26

Therefore the LCM of Fractions 4490/806,4543/780 is 20398070/26

Greatest Common Factor of 806,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 806,780 By Matching Biggest Common Factor Method

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 806,780 . The biggest common factor number is the GCF number.
So the greatest common factor 806,780 is 26.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4490/806, 4543/780

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 4490/806, 4543/780?

Answer: LCM of Numerators as per given numbers 4490/806, 4543/780 is

LCM of Numerators i.e. for 4490,4543 is 20398070

GCF of denominators i.e. for 806,780 is 26.

Thus, LCM of Fractions is 20398070/26.Finally, LCM of Fractions for 4490/806, 4543/780 is 20398070/26.