Least Common Multiple of 9820/38, 4844/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9820/38, 4844/472 quickly i.e. 5946010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9820/38, 4844/472 is 5946010.

LCM(9820/38, 4844/472) = 5946010

LCM of 9820/38, 4844/472

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 9820/38,4844/472

Given numbers are 9820/38,4844/472

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 9820,4844

Least Common Multiple of Numerators i.e. LCM of 9820,4844 is 11892020.

GCF of Denominators means GCF of 38,472 as per the given fractions.

GCF of 38,472 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9820,4844

LCM of Fractions 9820/38,4844/472 is 5946010

2 9820, 4844
2 4910, 2422
2455, 1211

∴ So the LCM of the given numbers is 2 x 2 x 2455 x 1211 = 11892020

Least Common Multiple of 9820,4844 with GCF Formula

Least Common Multiple of 9820,4844 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 9820,4844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9820,4844) = 4

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

GCF(9820,4844) x common factors =4 x 1 = 4

LCM(9820,4844) = ( 9820 × 4844 ) / 4

LCM(9820,4844) = 47568080 / 4

LCM(9820,4844) = 11892020


Lets's calculate GCF of 38,472

2 38, 472
19, 236

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11892020/2

Therefore the LCM of Fractions 9820/38,4844/472 is 5946010

Greatest Common Factor of 38,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,472 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 38,472 . The biggest common factor number is the GCF number.
So the greatest common factor 38,472 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9820/38, 4844/472

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 9820/38, 4844/472?

Answer: LCM of Numerators as per given numbers 9820/38, 4844/472 is

LCM of Numerators i.e. for 9820,4844 is 11892020

GCF of denominators i.e. for 38,472 is 2.

Thus, LCM of Fractions is 5946010.Finally, LCM of Fractions for 9820/38, 4844/472 is 5946010.