Least Common Multiple of 730/82, 654/4733

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 730/82, 654/4733 quickly i.e. 238710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/82, 654/4733 is 238710.

LCM(730/82, 654/4733) = 238710

LCM of 730/82, 654/4733

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 730/82,654/4733

Given numbers are 730/82,654/4733

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 730,654

Least Common Multiple of Numerators i.e. LCM of 730,654 is 238710.

GCF of Denominators means GCF of 82,4733 as per the given fractions.

GCF of 82,4733 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,654

LCM of Fractions 730/82,654/4733 is 238710

2 730, 654
365, 327

∴ So the LCM of the given numbers is 2 x 365 x 327 = 238710

Least Common Multiple of 730,654 with GCF Formula

Least Common Multiple of 730,654 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 730,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,654) = 2

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

GCF(730,654) x common factors =2 x 1 = 2

LCM(730,654) = ( 730 × 654 ) / 2

LCM(730,654) = 477420 / 2

LCM(730,654) = 238710


Lets's calculate GCF of 82,4733

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238710/1

Therefore the LCM of Fractions 730/82,654/4733 is 238710

Greatest Common Factor of 82,4733 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,4733 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 4733

List of positive integer factors of 4733 that divides 4733 without a remainder.

1,4733

Greatest Common Factor

We found the factors 82,4733 . The biggest common factor number is the GCF number.
So the greatest common factor 82,4733 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 730/82, 654/4733

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 730/82, 654/4733?

Answer: LCM of Numerators as per given numbers 730/82, 654/4733 is

LCM of Numerators i.e. for 730,654 is 238710

GCF of denominators i.e. for 82,4733 is 1.

Thus, LCM of Fractions is 238710.Finally, LCM of Fractions for 730/82, 654/4733 is 238710.