Least Common Multiple of 9980/674, 3404/6674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9980/674, 3404/6674 quickly i.e. 4246490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9980/674, 3404/6674 is 4246490.

LCM(9980/674, 3404/6674) = 4246490

LCM of 9980/674, 3404/6674

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 9980/674,3404/6674

Given numbers are 9980/674,3404/6674

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 9980,3404

Least Common Multiple of Numerators i.e. LCM of 9980,3404 is 8492980.

GCF of Denominators means GCF of 674,6674 as per the given fractions.

GCF of 674,6674 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9980,3404

LCM of Fractions 9980/674,3404/6674 is 4246490

2 9980, 3404
2 4990, 1702
2495, 851

∴ So the LCM of the given numbers is 2 x 2 x 2495 x 851 = 8492980

Least Common Multiple of 9980,3404 with GCF Formula

Least Common Multiple of 9980,3404 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 9980,3404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9980,3404) = 4

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

GCF(9980,3404) x common factors =4 x 1 = 4

LCM(9980,3404) = ( 9980 × 3404 ) / 4

LCM(9980,3404) = 33971920 / 4

LCM(9980,3404) = 8492980


Lets's calculate GCF of 674,6674

2 674, 6674
337, 3337

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8492980/2

Therefore the LCM of Fractions 9980/674,3404/6674 is 4246490

Greatest Common Factor of 674,6674 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,6674 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 6674

List of positive integer factors of 6674 that divides 6674 without a remainder.

1,2,47,71,94,142,3337,6674

Greatest Common Factor

We found the factors 674,6674 . The biggest common factor number is the GCF number.
So the greatest common factor 674,6674 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9980/674, 3404/6674

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 9980/674, 3404/6674?

Answer: LCM of Numerators as per given numbers 9980/674, 3404/6674 is

LCM of Numerators i.e. for 9980,3404 is 8492980

GCF of denominators i.e. for 674,6674 is 2.

Thus, LCM of Fractions is 4246490.Finally, LCM of Fractions for 9980/674, 3404/6674 is 4246490.