Least Common Multiple of 9838/64, 7586/904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9838/64, 7586/904 quickly i.e. 37315534/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9838/64, 7586/904 is 37315534/8.

LCM(9838/64, 7586/904) = 37315534/8

LCM of 9838/64, 7586/904

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 9838/64,7586/904

Given numbers are 9838/64,7586/904

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 9838,7586

Least Common Multiple of Numerators i.e. LCM of 9838,7586 is 37315534.

GCF of Denominators means GCF of 64,904 as per the given fractions.

GCF of 64,904 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9838,7586

LCM of Fractions 9838/64,7586/904 is 37315534/8

2 9838, 7586
4919, 3793

∴ So the LCM of the given numbers is 2 x 4919 x 3793 = 37315534

Least Common Multiple of 9838,7586 with GCF Formula

Least Common Multiple of 9838,7586 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 9838,7586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9838,7586) = 2

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

GCF(9838,7586) x common factors =2 x 1 = 2

LCM(9838,7586) = ( 9838 × 7586 ) / 2

LCM(9838,7586) = 74631068 / 2

LCM(9838,7586) = 37315534


Lets's calculate GCF of 64,904

2 64, 904
2 32, 452
2 16, 226
8, 113

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37315534/8

Therefore the LCM of Fractions 9838/64,7586/904 is 37315534/8

Greatest Common Factor of 64,904 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,904 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Greatest Common Factor

We found the factors 64,904 . The biggest common factor number is the GCF number.
So the greatest common factor 64,904 is 8.


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 9838/64, 7586/904

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 9838/64, 7586/904?

Answer: LCM of Numerators as per given numbers 9838/64, 7586/904 is

LCM of Numerators i.e. for 9838,7586 is 37315534

GCF of denominators i.e. for 64,904 is 8.

Thus, LCM of Fractions is 37315534/8.Finally, LCM of Fractions for 9838/64, 7586/904 is 37315534/8.