Least Common Multiple of 64/790, 4744/8613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/790, 4744/8613 quickly i.e. 37952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/790, 4744/8613 is 37952.

LCM(64/790, 4744/8613) = 37952

LCM of 64/790, 4744/8613

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 64/790,4744/8613

Given numbers are 64/790,4744/8613

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 64,4744

Least Common Multiple of Numerators i.e. LCM of 64,4744 is 37952.

GCF of Denominators means GCF of 790,8613 as per the given fractions.

GCF of 790,8613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,4744

LCM of Fractions 64/790,4744/8613 is 37952

2 64, 4744
2 32, 2372
2 16, 1186
8, 593

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 593 = 37952

Least Common Multiple of 64,4744 with GCF Formula

Least Common Multiple of 64,4744 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 64,4744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,4744) = 8

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

GCF(64,4744) x common factors =8 x 1 = 8

LCM(64,4744) = ( 64 × 4744 ) / 8

LCM(64,4744) = 303616 / 8

LCM(64,4744) = 37952


Lets's calculate GCF of 790,8613

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37952/1

Therefore the LCM of Fractions 64/790,4744/8613 is 37952

Greatest Common Factor of 790,8613 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,8613 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 8613

List of positive integer factors of 8613 that divides 8613 without a remainder.

1,3,9,11,27,29,33,87,99,261,297,319,783,957,2871,8613

Greatest Common Factor

We found the factors 790,8613 . The biggest common factor number is the GCF number.
So the greatest common factor 790,8613 is 1.


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 64/790, 4744/8613

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 64/790, 4744/8613?

Answer: LCM of Numerators as per given numbers 64/790, 4744/8613 is

LCM of Numerators i.e. for 64,4744 is 37952

GCF of denominators i.e. for 790,8613 is 1.

Thus, LCM of Fractions is 37952.Finally, LCM of Fractions for 64/790, 4744/8613 is 37952.