Least Common Multiple of 464/82, 949/28, 638/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 464/82, 949/28, 638/753 quickly i.e. 4843696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 464/82, 949/28, 638/753 is 4843696.

LCM(464/82, 949/28, 638/753) = 4843696

LCM of 464/82, 949/28, 638/753

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 464/82,949/28,638/753

Given numbers are 464/82,949/28,638/753

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 464,949,638

Least Common Multiple of Numerators i.e. LCM of 464,949,638 is 4843696.

GCF of Denominators means GCF of 82,28,753 as per the given fractions.

GCF of 82,28,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 464,949,638

LCM of Fractions 464/82,949/28,638/753 is 4843696

2 464, 949, 638
29 232, 949, 319
8, 949, 11

∴ So the LCM of the given numbers is 2 x 29 x 8 x 949 x 11 = 4843696

Least Common Multiple of 464,949,638 with GCF Formula

Least Common Multiple of 464,949,638 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 464,949,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,949,638) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(464,949,638) x common factors =1 x 58 = 58

LCM(464,949,638) = ( 464 × 949 × 638 ) / 58

LCM(464,949,638) = 280934368 / 58

LCM(464,949,638) = 4843696


Lets's calculate GCF of 82,28,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4843696/1

Therefore the LCM of Fractions 464/82,949/28,638/753 is 4843696

Greatest Common Factor of 82,28,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,28,753 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 82,28,753 . The biggest common factor number is the GCF number.
So the greatest common factor 82,28,753 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 464/82, 949/28, 638/753

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 464/82, 949/28, 638/753?

Answer: LCM of Numerators as per given numbers 464/82, 949/28, 638/753 is

LCM of Numerators i.e. for 464,949,638 is 4843696

GCF of denominators i.e. for 82,28,753 is 1.

Thus, LCM of Fractions is 4843696.Finally, LCM of Fractions for 464/82, 949/28, 638/753 is 4843696.