Least Common Multiple of 2474/620, 6579/2820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2474/620, 6579/2820 quickly i.e. 16276446/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2474/620, 6579/2820 is 16276446/20.

LCM(2474/620, 6579/2820) = 16276446/20

LCM of 2474/620, 6579/2820

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 2474/620,6579/2820

Given numbers are 2474/620,6579/2820

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 2474,6579

Least Common Multiple of Numerators i.e. LCM of 2474,6579 is 16276446.

GCF of Denominators means GCF of 620,2820 as per the given fractions.

GCF of 620,2820 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2474,6579

LCM of Fractions 2474/620,6579/2820 is 16276446/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 16276446

Least Common Multiple of 2474,6579 with GCF Formula

Least Common Multiple of 2474,6579 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 2474,6579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2474,6579) = 1

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

GCF(2474,6579) x common factors =1 x 1 = 1

LCM(2474,6579) = ( 2474 × 6579 ) / 1

LCM(2474,6579) = 16276446 / 1

LCM(2474,6579) = 16276446


Lets's calculate GCF of 620,2820

2 620, 2820
2 310, 1410
5 155, 705
31, 141

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16276446/20

Therefore the LCM of Fractions 2474/620,6579/2820 is 16276446/20

Greatest Common Factor of 620,2820 By Matching Biggest Common Factor Method

Greatest Common Factor of 620,2820 By Matching Biggest Common Factor Method

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 2820

List of positive integer factors of 2820 that divides 2820 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820

Greatest Common Factor

We found the factors 620,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 620,2820 is 20.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 2474/620, 6579/2820

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 2474/620, 6579/2820?

Answer: LCM of Numerators as per given numbers 2474/620, 6579/2820 is

LCM of Numerators i.e. for 2474,6579 is 16276446

GCF of denominators i.e. for 620,2820 is 20.

Thus, LCM of Fractions is 16276446/20.Finally, LCM of Fractions for 2474/620, 6579/2820 is 16276446/20.