Least Common Multiple of 9980/299, 4738/8464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9980/299, 4738/8464 quickly i.e. 1027940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9980/299, 4738/8464 is 1027940.

LCM(9980/299, 4738/8464) = 1027940

LCM of 9980/299, 4738/8464

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 9980/299,4738/8464

Given numbers are 9980/299,4738/8464

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 9980,4738

Least Common Multiple of Numerators i.e. LCM of 9980,4738 is 23642620.

GCF of Denominators means GCF of 299,8464 as per the given fractions.

GCF of 299,8464 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9980,4738

LCM of Fractions 9980/299,4738/8464 is 1027940

2 9980, 4738
4990, 2369

∴ So the LCM of the given numbers is 2 x 4990 x 2369 = 23642620

Least Common Multiple of 9980,4738 with GCF Formula

Least Common Multiple of 9980,4738 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 9980,4738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9980,4738) = 2

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

GCF(9980,4738) x common factors =2 x 1 = 2

LCM(9980,4738) = ( 9980 × 4738 ) / 2

LCM(9980,4738) = 47285240 / 2

LCM(9980,4738) = 23642620


Lets's calculate GCF of 299,8464

23 299, 8464
13, 368

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23642620/23

Therefore the LCM of Fractions 9980/299,4738/8464 is 1027940

Greatest Common Factor of 299,8464 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,8464 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464

Greatest Common Factor

We found the factors 299,8464 . The biggest common factor number is the GCF number.
So the greatest common factor 299,8464 is 23.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9980/299, 4738/8464

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 9980/299, 4738/8464?

Answer: LCM of Numerators as per given numbers 9980/299, 4738/8464 is

LCM of Numerators i.e. for 9980,4738 is 23642620

GCF of denominators i.e. for 299,8464 is 23.

Thus, LCM of Fractions is 1027940.Finally, LCM of Fractions for 9980/299, 4738/8464 is 1027940.