Least Common Multiple of 43/45, 897/48, 179/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/45, 897/48, 179/333 quickly i.e. 2301403 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/45, 897/48, 179/333 is 2301403.

LCM(43/45, 897/48, 179/333) = 2301403

LCM of 43/45, 897/48, 179/333

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 43/45,897/48,179/333

Given numbers are 43/45,897/48,179/333

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 43,897,179

Least Common Multiple of Numerators i.e. LCM of 43,897,179 is 6904209.

GCF of Denominators means GCF of 45,48,333 as per the given fractions.

GCF of 45,48,333 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,897,179

LCM of Fractions 43/45,897/48,179/333 is 2301403

Given numbers has no common factors except 1. So, there LCM is their product i.e 6904209

Least Common Multiple of 43,897,179 with GCF Formula

Least Common Multiple of 43,897,179 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 43,897,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,897,179) = 1

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

GCF(43,897,179) x common factors =1 x 1 = 1

LCM(43,897,179) = ( 43 × 897 × 179 ) / 1

LCM(43,897,179) = 6904209 / 1

LCM(43,897,179) = 6904209


Lets's calculate GCF of 45,48,333

3 45, 48, 333
15, 16, 111

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6904209/3

Therefore the LCM of Fractions 43/45,897/48,179/333 is 2301403

Greatest Common Factor of 45,48,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,48,333 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 45,48,333 . The biggest common factor number is the GCF number.
So the greatest common factor 45,48,333 is 3.


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 43/45, 897/48, 179/333

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 43/45, 897/48, 179/333?

Answer: LCM of Numerators as per given numbers 43/45, 897/48, 179/333 is

LCM of Numerators i.e. for 43,897,179 is 6904209

GCF of denominators i.e. for 45,48,333 is 3.

Thus, LCM of Fractions is 2301403.Finally, LCM of Fractions for 43/45, 897/48, 179/333 is 2301403.