Least Common Multiple of 724/96, 445/86, 106/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 724/96, 445/86, 106/252 quickly i.e. 8537770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 724/96, 445/86, 106/252 is 8537770.

LCM(724/96, 445/86, 106/252) = 8537770

LCM of 724/96, 445/86, 106/252

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 724/96,445/86,106/252

Given numbers are 724/96,445/86,106/252

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 724,445,106

Least Common Multiple of Numerators i.e. LCM of 724,445,106 is 17075540.

GCF of Denominators means GCF of 96,86,252 as per the given fractions.

GCF of 96,86,252 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 724,445,106

LCM of Fractions 724/96,445/86,106/252 is 8537770

2 724, 445, 106
362, 445, 53

∴ So the LCM of the given numbers is 2 x 362 x 445 x 53 = 17075540

Least Common Multiple of 724,445,106 with GCF Formula

Least Common Multiple of 724,445,106 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 724,445,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,445,106) = 1

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

GCF(724,445,106) x common factors =1 x 2 = 2

LCM(724,445,106) = ( 724 × 445 × 106 ) / 2

LCM(724,445,106) = 34151080 / 2

LCM(724,445,106) = 17075540


Lets's calculate GCF of 96,86,252

2 96, 86, 252
48, 43, 126

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17075540/2

Therefore the LCM of Fractions 724/96,445/86,106/252 is 8537770

Greatest Common Factor of 96,86,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,86,252 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 96,86,252 . The biggest common factor number is the GCF number.
So the greatest common factor 96,86,252 is 2.


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 724/96, 445/86, 106/252

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 724/96, 445/86, 106/252?

Answer: LCM of Numerators as per given numbers 724/96, 445/86, 106/252 is

LCM of Numerators i.e. for 724,445,106 is 17075540

GCF of denominators i.e. for 96,86,252 is 2.

Thus, LCM of Fractions is 8537770.Finally, LCM of Fractions for 724/96, 445/86, 106/252 is 8537770.