Least Common Multiple of 445/253, 739/140, 142/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 445/253, 739/140, 142/589 quickly i.e. 46697410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 445/253, 739/140, 142/589 is 46697410.

LCM(445/253, 739/140, 142/589) = 46697410

LCM of 445/253, 739/140, 142/589

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 445/253,739/140,142/589

Given numbers are 445/253,739/140,142/589

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 445,739,142

Least Common Multiple of Numerators i.e. LCM of 445,739,142 is 46697410.

GCF of Denominators means GCF of 253,140,589 as per the given fractions.

GCF of 253,140,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 445,739,142

LCM of Fractions 445/253,739/140,142/589 is 46697410

Given numbers has no common factors except 1. So, there LCM is their product i.e 46697410

Least Common Multiple of 445,739,142 with GCF Formula

Least Common Multiple of 445,739,142 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 445,739,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,739,142) = 1

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

GCF(445,739,142) x common factors =1 x 1 = 1

LCM(445,739,142) = ( 445 × 739 × 142 ) / 1

LCM(445,739,142) = 46697410 / 1

LCM(445,739,142) = 46697410


Lets's calculate GCF of 253,140,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46697410/1

Therefore the LCM of Fractions 445/253,739/140,142/589 is 46697410

Greatest Common Factor of 253,140,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,140,589 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 253,140,589 . The biggest common factor number is the GCF number.
So the greatest common factor 253,140,589 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 445/253, 739/140, 142/589

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 445/253, 739/140, 142/589?

Answer: LCM of Numerators as per given numbers 445/253, 739/140, 142/589 is

LCM of Numerators i.e. for 445,739,142 is 46697410

GCF of denominators i.e. for 253,140,589 is 1.

Thus, LCM of Fractions is 46697410.Finally, LCM of Fractions for 445/253, 739/140, 142/589 is 46697410.