Least Common Multiple of 283/725, 235/672, 743/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/725, 235/672, 743/445 quickly i.e. 49413215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/725, 235/672, 743/445 is 49413215.

LCM(283/725, 235/672, 743/445) = 49413215

LCM of 283/725, 235/672, 743/445

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 283/725,235/672,743/445

Given numbers are 283/725,235/672,743/445

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 283,235,743

Least Common Multiple of Numerators i.e. LCM of 283,235,743 is 49413215.

GCF of Denominators means GCF of 725,672,445 as per the given fractions.

GCF of 725,672,445 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,235,743

LCM of Fractions 283/725,235/672,743/445 is 49413215

Given numbers has no common factors except 1. So, there LCM is their product i.e 49413215

Least Common Multiple of 283,235,743 with GCF Formula

Least Common Multiple of 283,235,743 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 283,235,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,235,743) = 1

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

GCF(283,235,743) x common factors =1 x 1 = 1

LCM(283,235,743) = ( 283 × 235 × 743 ) / 1

LCM(283,235,743) = 49413215 / 1

LCM(283,235,743) = 49413215


Lets's calculate GCF of 725,672,445

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49413215/1

Therefore the LCM of Fractions 283/725,235/672,743/445 is 49413215

Greatest Common Factor of 725,672,445 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,672,445 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1,5,89,445

Greatest Common Factor

We found the factors 725,672,445 . The biggest common factor number is the GCF number.
So the greatest common factor 725,672,445 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 283/725, 235/672, 743/445

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 283/725, 235/672, 743/445?

Answer: LCM of Numerators as per given numbers 283/725, 235/672, 743/445 is

LCM of Numerators i.e. for 283,235,743 is 49413215

GCF of denominators i.e. for 725,672,445 is 1.

Thus, LCM of Fractions is 49413215.Finally, LCM of Fractions for 283/725, 235/672, 743/445 is 49413215.