Least Common Multiple of 284/189, 738/973, 109/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/189, 738/973, 109/936 quickly i.e. 11422764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/189, 738/973, 109/936 is 11422764.

LCM(284/189, 738/973, 109/936) = 11422764

LCM of 284/189, 738/973, 109/936

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 284/189,738/973,109/936

Given numbers are 284/189,738/973,109/936

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 284,738,109

Least Common Multiple of Numerators i.e. LCM of 284,738,109 is 11422764.

GCF of Denominators means GCF of 189,973,936 as per the given fractions.

GCF of 189,973,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,738,109

LCM of Fractions 284/189,738/973,109/936 is 11422764

2 284, 738, 109
142, 369, 109

∴ So the LCM of the given numbers is 2 x 142 x 369 x 109 = 11422764

Least Common Multiple of 284,738,109 with GCF Formula

Least Common Multiple of 284,738,109 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 284,738,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,738,109) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(284,738,109) x common factors =1 x 2 = 2

LCM(284,738,109) = ( 284 × 738 × 109 ) / 2

LCM(284,738,109) = 22845528 / 2

LCM(284,738,109) = 11422764


Lets's calculate GCF of 189,973,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11422764/1

Therefore the LCM of Fractions 284/189,738/973,109/936 is 11422764

Greatest Common Factor of 189,973,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,973,936 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 189,973,936 . The biggest common factor number is the GCF number.
So the greatest common factor 189,973,936 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 284/189, 738/973, 109/936

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 284/189, 738/973, 109/936?

Answer: LCM of Numerators as per given numbers 284/189, 738/973, 109/936 is

LCM of Numerators i.e. for 284,738,109 is 11422764

GCF of denominators i.e. for 189,973,936 is 1.

Thus, LCM of Fractions is 11422764.Finally, LCM of Fractions for 284/189, 738/973, 109/936 is 11422764.