Least Common Multiple of 82/900, 614/347, 584/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/900, 614/347, 584/724 quickly i.e. 7350808 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/900, 614/347, 584/724 is 7350808.

LCM(82/900, 614/347, 584/724) = 7350808

LCM of 82/900, 614/347, 584/724

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 82/900,614/347,584/724

Given numbers are 82/900,614/347,584/724

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 82,614,584

Least Common Multiple of Numerators i.e. LCM of 82,614,584 is 7350808.

GCF of Denominators means GCF of 900,347,724 as per the given fractions.

GCF of 900,347,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,614,584

LCM of Fractions 82/900,614/347,584/724 is 7350808

2 82, 614, 584
41, 307, 292

∴ So the LCM of the given numbers is 2 x 41 x 307 x 292 = 7350808

Least Common Multiple of 82,614,584 with GCF Formula

Least Common Multiple of 82,614,584 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 82,614,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,614,584) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,614,584) x common factors =2 x 2 = 4

LCM(82,614,584) = ( 82 × 614 × 584 ) / 4

LCM(82,614,584) = 29403232 / 4

LCM(82,614,584) = 7350808


Lets's calculate GCF of 900,347,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7350808/1

Therefore the LCM of Fractions 82/900,614/347,584/724 is 7350808

Greatest Common Factor of 900,347,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,347,724 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 900,347,724 . The biggest common factor number is the GCF number.
So the greatest common factor 900,347,724 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 82/900, 614/347, 584/724

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 82/900, 614/347, 584/724?

Answer: LCM of Numerators as per given numbers 82/900, 614/347, 584/724 is

LCM of Numerators i.e. for 82,614,584 is 7350808

GCF of denominators i.e. for 900,347,724 is 1.

Thus, LCM of Fractions is 7350808.Finally, LCM of Fractions for 82/900, 614/347, 584/724 is 7350808.