Least Common Multiple of 64/454, 7772/8238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/454, 7772/8238 quickly i.e. 62176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/454, 7772/8238 is 62176.

LCM(64/454, 7772/8238) = 62176

LCM of 64/454, 7772/8238

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 64/454,7772/8238

Given numbers are 64/454,7772/8238

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 64,7772

Least Common Multiple of Numerators i.e. LCM of 64,7772 is 124352.

GCF of Denominators means GCF of 454,8238 as per the given fractions.

GCF of 454,8238 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,7772

LCM of Fractions 64/454,7772/8238 is 62176

2 64, 7772
2 32, 3886
16, 1943

∴ So the LCM of the given numbers is 2 x 2 x 16 x 1943 = 124352

Least Common Multiple of 64,7772 with GCF Formula

Least Common Multiple of 64,7772 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 64,7772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,7772) = 4

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

GCF(64,7772) x common factors =4 x 1 = 4

LCM(64,7772) = ( 64 × 7772 ) / 4

LCM(64,7772) = 497408 / 4

LCM(64,7772) = 124352


Lets's calculate GCF of 454,8238

2 454, 8238
227, 4119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124352/2

Therefore the LCM of Fractions 64/454,7772/8238 is 62176

Greatest Common Factor of 454,8238 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,8238 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 8238

List of positive integer factors of 8238 that divides 8238 without a remainder.

1,2,3,6,1373,2746,4119,8238

Greatest Common Factor

We found the factors 454,8238 . The biggest common factor number is the GCF number.
So the greatest common factor 454,8238 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 64/454, 7772/8238

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 64/454, 7772/8238?

Answer: LCM of Numerators as per given numbers 64/454, 7772/8238 is

LCM of Numerators i.e. for 64,7772 is 124352

GCF of denominators i.e. for 454,8238 is 2.

Thus, LCM of Fractions is 62176.Finally, LCM of Fractions for 64/454, 7772/8238 is 62176.