Least Common Multiple of 444/71, 598/3175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 444/71, 598/3175 quickly i.e. 132756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/71, 598/3175 is 132756.

LCM(444/71, 598/3175) = 132756

LCM of 444/71, 598/3175

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 444/71,598/3175

Given numbers are 444/71,598/3175

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 444,598

Least Common Multiple of Numerators i.e. LCM of 444,598 is 132756.

GCF of Denominators means GCF of 71,3175 as per the given fractions.

GCF of 71,3175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,598

LCM of Fractions 444/71,598/3175 is 132756

2 444, 598
222, 299

∴ So the LCM of the given numbers is 2 x 222 x 299 = 132756

Least Common Multiple of 444,598 with GCF Formula

Least Common Multiple of 444,598 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 444,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,598) = 2

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

GCF(444,598) x common factors =2 x 1 = 2

LCM(444,598) = ( 444 × 598 ) / 2

LCM(444,598) = 265512 / 2

LCM(444,598) = 132756


Lets's calculate GCF of 71,3175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132756/1

Therefore the LCM of Fractions 444/71,598/3175 is 132756

Greatest Common Factor of 71,3175 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,3175 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 3175

List of positive integer factors of 3175 that divides 3175 without a remainder.

1,5,25,127,635,3175

Greatest Common Factor

We found the factors 71,3175 . The biggest common factor number is the GCF number.
So the greatest common factor 71,3175 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 444/71, 598/3175

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 444/71, 598/3175?

Answer: LCM of Numerators as per given numbers 444/71, 598/3175 is

LCM of Numerators i.e. for 444,598 is 132756

GCF of denominators i.e. for 71,3175 is 1.

Thus, LCM of Fractions is 132756.Finally, LCM of Fractions for 444/71, 598/3175 is 132756.