Least Common Multiple of 9995/838, 4948/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9995/838, 4948/430 quickly i.e. 24727630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9995/838, 4948/430 is 24727630.

LCM(9995/838, 4948/430) = 24727630

LCM of 9995/838, 4948/430

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 9995/838,4948/430

Given numbers are 9995/838,4948/430

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 9995,4948

Least Common Multiple of Numerators i.e. LCM of 9995,4948 is 49455260.

GCF of Denominators means GCF of 838,430 as per the given fractions.

GCF of 838,430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9995,4948

LCM of Fractions 9995/838,4948/430 is 24727630

Given numbers has no common factors except 1. So, there LCM is their product i.e 49455260

Least Common Multiple of 9995,4948 with GCF Formula

Least Common Multiple of 9995,4948 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 9995,4948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9995,4948) = 1

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

GCF(9995,4948) x common factors =1 x 1 = 1

LCM(9995,4948) = ( 9995 × 4948 ) / 1

LCM(9995,4948) = 49455260 / 1

LCM(9995,4948) = 49455260


Lets's calculate GCF of 838,430

2 838, 430
419, 215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49455260/2

Therefore the LCM of Fractions 9995/838,4948/430 is 24727630

Greatest Common Factor of 838,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 838,430 By Matching Biggest Common Factor Method

Factors of 838

List of positive integer factors of 838 that divides 838 without a remainder.

1,2,419,838

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 838,430 . The biggest common factor number is the GCF number.
So the greatest common factor 838,430 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9995/838, 4948/430

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 9995/838, 4948/430?

Answer: LCM of Numerators as per given numbers 9995/838, 4948/430 is

LCM of Numerators i.e. for 9995,4948 is 49455260

GCF of denominators i.e. for 838,430 is 2.

Thus, LCM of Fractions is 24727630.Finally, LCM of Fractions for 9995/838, 4948/430 is 24727630.