Least Common Multiple of 449/41, 897/58, 642/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/41, 897/58, 642/577 quickly i.e. 86189142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/41, 897/58, 642/577 is 86189142.

LCM(449/41, 897/58, 642/577) = 86189142

LCM of 449/41, 897/58, 642/577

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 449/41,897/58,642/577

Given numbers are 449/41,897/58,642/577

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 449,897,642

Least Common Multiple of Numerators i.e. LCM of 449,897,642 is 86189142.

GCF of Denominators means GCF of 41,58,577 as per the given fractions.

GCF of 41,58,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,897,642

LCM of Fractions 449/41,897/58,642/577 is 86189142

3 449, 897, 642
449, 299, 214

∴ So the LCM of the given numbers is 3 x 449 x 299 x 214 = 86189142

Least Common Multiple of 449,897,642 with GCF Formula

Least Common Multiple of 449,897,642 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 449,897,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,897,642) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(449,897,642) x common factors =1 x 3 = 3

LCM(449,897,642) = ( 449 × 897 × 642 ) / 3

LCM(449,897,642) = 258567426 / 3

LCM(449,897,642) = 86189142


Lets's calculate GCF of 41,58,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86189142/1

Therefore the LCM of Fractions 449/41,897/58,642/577 is 86189142

Greatest Common Factor of 41,58,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,58,577 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 41,58,577 . The biggest common factor number is the GCF number.
So the greatest common factor 41,58,577 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 449/41, 897/58, 642/577

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 449/41, 897/58, 642/577?

Answer: LCM of Numerators as per given numbers 449/41, 897/58, 642/577 is

LCM of Numerators i.e. for 449,897,642 is 86189142

GCF of denominators i.e. for 41,58,577 is 1.

Thus, LCM of Fractions is 86189142.Finally, LCM of Fractions for 449/41, 897/58, 642/577 is 86189142.