Least Common Multiple of 398/39, 459/43, 891/997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 398/39, 459/43, 891/997 quickly i.e. 6028506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 398/39, 459/43, 891/997 is 6028506.

LCM(398/39, 459/43, 891/997) = 6028506

LCM of 398/39, 459/43, 891/997

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 398/39,459/43,891/997

Given numbers are 398/39,459/43,891/997

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 398,459,891

Least Common Multiple of Numerators i.e. LCM of 398,459,891 is 6028506.

GCF of Denominators means GCF of 39,43,997 as per the given fractions.

GCF of 39,43,997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 398,459,891

LCM of Fractions 398/39,459/43,891/997 is 6028506

3 398, 459, 891
3 398, 153, 297
3 398, 51, 99
398, 17, 33

∴ So the LCM of the given numbers is 3 x 3 x 3 x 398 x 17 x 33 = 6028506

Least Common Multiple of 398,459,891 with GCF Formula

Least Common Multiple of 398,459,891 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 398,459,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,459,891) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(398,459,891) x common factors =1 x 27 = 27

LCM(398,459,891) = ( 398 × 459 × 891 ) / 27

LCM(398,459,891) = 162769662 / 27

LCM(398,459,891) = 6028506


Lets's calculate GCF of 39,43,997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6028506/1

Therefore the LCM of Fractions 398/39,459/43,891/997 is 6028506

Greatest Common Factor of 39,43,997 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,43,997 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Greatest Common Factor

We found the factors 39,43,997 . The biggest common factor number is the GCF number.
So the greatest common factor 39,43,997 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 398/39, 459/43, 891/997

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 398/39, 459/43, 891/997?

Answer: LCM of Numerators as per given numbers 398/39, 459/43, 891/997 is

LCM of Numerators i.e. for 398,459,891 is 6028506

GCF of denominators i.e. for 39,43,997 is 1.

Thus, LCM of Fractions is 6028506.Finally, LCM of Fractions for 398/39, 459/43, 891/997 is 6028506.