Least Common Multiple of 9904/146, 3812/6492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9904/146, 3812/6492 quickly i.e. 4719256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9904/146, 3812/6492 is 4719256.

LCM(9904/146, 3812/6492) = 4719256

LCM of 9904/146, 3812/6492

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 9904/146,3812/6492

Given numbers are 9904/146,3812/6492

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 9904,3812

Least Common Multiple of Numerators i.e. LCM of 9904,3812 is 9438512.

GCF of Denominators means GCF of 146,6492 as per the given fractions.

GCF of 146,6492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9904,3812

LCM of Fractions 9904/146,3812/6492 is 4719256

2 9904, 3812
2 4952, 1906
2476, 953

∴ So the LCM of the given numbers is 2 x 2 x 2476 x 953 = 9438512

Least Common Multiple of 9904,3812 with GCF Formula

Least Common Multiple of 9904,3812 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 9904,3812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9904,3812) = 4

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

GCF(9904,3812) x common factors =4 x 1 = 4

LCM(9904,3812) = ( 9904 × 3812 ) / 4

LCM(9904,3812) = 37754048 / 4

LCM(9904,3812) = 9438512


Lets's calculate GCF of 146,6492

2 146, 6492
73, 3246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9438512/2

Therefore the LCM of Fractions 9904/146,3812/6492 is 4719256

Greatest Common Factor of 146,6492 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,6492 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 6492

List of positive integer factors of 6492 that divides 6492 without a remainder.

1,2,3,4,6,12,541,1082,1623,2164,3246,6492

Greatest Common Factor

We found the factors 146,6492 . The biggest common factor number is the GCF number.
So the greatest common factor 146,6492 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 9904/146, 3812/6492

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 9904/146, 3812/6492?

Answer: LCM of Numerators as per given numbers 9904/146, 3812/6492 is

LCM of Numerators i.e. for 9904,3812 is 9438512

GCF of denominators i.e. for 146,6492 is 2.

Thus, LCM of Fractions is 4719256.Finally, LCM of Fractions for 9904/146, 3812/6492 is 4719256.