Least Common Multiple of 583/292, 264/360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 583/292, 264/360 quickly i.e. 3498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 583/292, 264/360 is 3498.

LCM(583/292, 264/360) = 3498

LCM of 583/292, 264/360

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 583/292,264/360

Given numbers are 583/292,264/360

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 583,264

Least Common Multiple of Numerators i.e. LCM of 583,264 is 13992.

GCF of Denominators means GCF of 292,360 as per the given fractions.

GCF of 292,360 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 583,264

LCM of Fractions 583/292,264/360 is 3498

11 583, 264
53, 24

∴ So the LCM of the given numbers is 11 x 53 x 24 = 13992

Least Common Multiple of 583,264 with GCF Formula

Least Common Multiple of 583,264 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 583,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,264) = 11

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

GCF(583,264) x common factors =11 x 1 = 11

LCM(583,264) = ( 583 × 264 ) / 11

LCM(583,264) = 153912 / 11

LCM(583,264) = 13992


Lets's calculate GCF of 292,360

2 292, 360
2 146, 180
73, 90

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13992/4

Therefore the LCM of Fractions 583/292,264/360 is 3498

Greatest Common Factor of 292,360 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,360 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 292,360 . The biggest common factor number is the GCF number.
So the greatest common factor 292,360 is 4.


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 583/292, 264/360

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 583/292, 264/360?

Answer: LCM of Numerators as per given numbers 583/292, 264/360 is

LCM of Numerators i.e. for 583,264 is 13992

GCF of denominators i.e. for 292,360 is 4.

Thus, LCM of Fractions is 3498.Finally, LCM of Fractions for 583/292, 264/360 is 3498.