Least Common Multiple of 736/183, 684/298, 123/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/183, 684/298, 123/960 quickly i.e. 5160096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/183, 684/298, 123/960 is 5160096.

LCM(736/183, 684/298, 123/960) = 5160096

LCM of 736/183, 684/298, 123/960

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 736/183,684/298,123/960

Given numbers are 736/183,684/298,123/960

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 736,684,123

Least Common Multiple of Numerators i.e. LCM of 736,684,123 is 5160096.

GCF of Denominators means GCF of 183,298,960 as per the given fractions.

GCF of 183,298,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,684,123

LCM of Fractions 736/183,684/298,123/960 is 5160096

2 736, 684, 123
2 368, 342, 123
3 184, 171, 123
184, 57, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 184 x 57 x 41 = 5160096

Least Common Multiple of 736,684,123 with GCF Formula

Least Common Multiple of 736,684,123 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 736,684,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,684,123) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(736,684,123) x common factors =1 x 12 = 12

LCM(736,684,123) = ( 736 × 684 × 123 ) / 12

LCM(736,684,123) = 61921152 / 12

LCM(736,684,123) = 5160096


Lets's calculate GCF of 183,298,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5160096/1

Therefore the LCM of Fractions 736/183,684/298,123/960 is 5160096

Greatest Common Factor of 183,298,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 183,298,960 By Matching Biggest Common Factor Method

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 183,298,960 . The biggest common factor number is the GCF number.
So the greatest common factor 183,298,960 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 736/183, 684/298, 123/960

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 736/183, 684/298, 123/960?

Answer: LCM of Numerators as per given numbers 736/183, 684/298, 123/960 is

LCM of Numerators i.e. for 736,684,123 is 5160096

GCF of denominators i.e. for 183,298,960 is 1.

Thus, LCM of Fractions is 5160096.Finally, LCM of Fractions for 736/183, 684/298, 123/960 is 5160096.