Least Common Multiple of 638/64, 7766/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 638/64, 7766/482 quickly i.e. 112607 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 638/64, 7766/482 is 112607.

LCM(638/64, 7766/482) = 112607

LCM of 638/64, 7766/482

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 638/64,7766/482

Given numbers are 638/64,7766/482

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 638,7766

Least Common Multiple of Numerators i.e. LCM of 638,7766 is 225214.

GCF of Denominators means GCF of 64,482 as per the given fractions.

GCF of 64,482 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 638,7766

LCM of Fractions 638/64,7766/482 is 112607

2 638, 7766
11 319, 3883
29, 353

∴ So the LCM of the given numbers is 2 x 11 x 29 x 353 = 225214

Least Common Multiple of 638,7766 with GCF Formula

Least Common Multiple of 638,7766 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 638,7766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,7766) = 22

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

GCF(638,7766) x common factors =22 x 1 = 22

LCM(638,7766) = ( 638 × 7766 ) / 22

LCM(638,7766) = 4954708 / 22

LCM(638,7766) = 225214


Lets's calculate GCF of 64,482

2 64, 482
32, 241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225214/2

Therefore the LCM of Fractions 638/64,7766/482 is 112607

Greatest Common Factor of 64,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,482 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 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 64,482 . The biggest common factor number is the GCF number.
So the greatest common factor 64,482 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 638/64, 7766/482

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 638/64, 7766/482?

Answer: LCM of Numerators as per given numbers 638/64, 7766/482 is

LCM of Numerators i.e. for 638,7766 is 225214

GCF of denominators i.e. for 64,482 is 2.

Thus, LCM of Fractions is 112607.Finally, LCM of Fractions for 638/64, 7766/482 is 112607.