Least Common Multiple of 3190/410, 5369/4940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3190/410, 5369/4940 quickly i.e. 1712711 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3190/410, 5369/4940 is 1712711.

LCM(3190/410, 5369/4940) = 1712711

LCM of 3190/410, 5369/4940

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 3190/410,5369/4940

Given numbers are 3190/410,5369/4940

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 3190,5369

Least Common Multiple of Numerators i.e. LCM of 3190,5369 is 17127110.

GCF of Denominators means GCF of 410,4940 as per the given fractions.

GCF of 410,4940 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3190,5369

LCM of Fractions 3190/410,5369/4940 is 1712711

Given numbers has no common factors except 1. So, there LCM is their product i.e 17127110

Least Common Multiple of 3190,5369 with GCF Formula

Least Common Multiple of 3190,5369 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 3190,5369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3190,5369) = 1

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

GCF(3190,5369) x common factors =1 x 1 = 1

LCM(3190,5369) = ( 3190 × 5369 ) / 1

LCM(3190,5369) = 17127110 / 1

LCM(3190,5369) = 17127110


Lets's calculate GCF of 410,4940

2 410, 4940
5 205, 2470
41, 494

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17127110/10

Therefore the LCM of Fractions 3190/410,5369/4940 is 1712711

Greatest Common Factor of 410,4940 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,4940 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 4940

List of positive integer factors of 4940 that divides 4940 without a remainder.

1,2,4,5,10,13,19,20,26,38,52,65,76,95,130,190,247,260,380,494,988,1235,2470,4940

Greatest Common Factor

We found the factors 410,4940 . The biggest common factor number is the GCF number.
So the greatest common factor 410,4940 is 10.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3190/410, 5369/4940

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 3190/410, 5369/4940?

Answer: LCM of Numerators as per given numbers 3190/410, 5369/4940 is

LCM of Numerators i.e. for 3190,5369 is 17127110

GCF of denominators i.e. for 410,4940 is 10.

Thus, LCM of Fractions is 1712711.Finally, LCM of Fractions for 3190/410, 5369/4940 is 1712711.