Least Common Multiple of 4632/805, 6832/642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4632/805, 6832/642 quickly i.e. 3955728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4632/805, 6832/642 is 3955728.

LCM(4632/805, 6832/642) = 3955728

LCM of 4632/805, 6832/642

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 4632/805,6832/642

Given numbers are 4632/805,6832/642

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 4632,6832

Least Common Multiple of Numerators i.e. LCM of 4632,6832 is 3955728.

GCF of Denominators means GCF of 805,642 as per the given fractions.

GCF of 805,642 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4632,6832

LCM of Fractions 4632/805,6832/642 is 3955728

2 4632, 6832
2 2316, 3416
2 1158, 1708
579, 854

∴ So the LCM of the given numbers is 2 x 2 x 2 x 579 x 854 = 3955728

Least Common Multiple of 4632,6832 with GCF Formula

Least Common Multiple of 4632,6832 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 4632,6832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4632,6832) = 8

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

GCF(4632,6832) x common factors =8 x 1 = 8

LCM(4632,6832) = ( 4632 × 6832 ) / 8

LCM(4632,6832) = 31645824 / 8

LCM(4632,6832) = 3955728


Lets's calculate GCF of 805,642

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3955728/1

Therefore the LCM of Fractions 4632/805,6832/642 is 3955728

Greatest Common Factor of 805,642 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,642 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Greatest Common Factor

We found the factors 805,642 . The biggest common factor number is the GCF number.
So the greatest common factor 805,642 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4632/805, 6832/642

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 4632/805, 6832/642?

Answer: LCM of Numerators as per given numbers 4632/805, 6832/642 is

LCM of Numerators i.e. for 4632,6832 is 3955728

GCF of denominators i.e. for 805,642 is 1.

Thus, LCM of Fractions is 3955728.Finally, LCM of Fractions for 4632/805, 6832/642 is 3955728.