Least Common Multiple of 318/23, 655/51, 583/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/23, 655/51, 583/572 quickly i.e. 2291190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/23, 655/51, 583/572 is 2291190.

LCM(318/23, 655/51, 583/572) = 2291190

LCM of 318/23, 655/51, 583/572

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 318/23,655/51,583/572

Given numbers are 318/23,655/51,583/572

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 318,655,583

Least Common Multiple of Numerators i.e. LCM of 318,655,583 is 2291190.

GCF of Denominators means GCF of 23,51,572 as per the given fractions.

GCF of 23,51,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,655,583

LCM of Fractions 318/23,655/51,583/572 is 2291190

53 318, 655, 583
6, 655, 11

∴ So the LCM of the given numbers is 53 x 6 x 655 x 11 = 2291190

Least Common Multiple of 318,655,583 with GCF Formula

Least Common Multiple of 318,655,583 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 318,655,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,655,583) = 1

common factors(in case of two or more numbers have common factors) = 53

GCF(318,655,583) x common factors =1 x 53 = 53

LCM(318,655,583) = ( 318 × 655 × 583 ) / 53

LCM(318,655,583) = 121433070 / 53

LCM(318,655,583) = 2291190


Lets's calculate GCF of 23,51,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2291190/1

Therefore the LCM of Fractions 318/23,655/51,583/572 is 2291190

Greatest Common Factor of 23,51,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,51,572 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 23,51,572 . The biggest common factor number is the GCF number.
So the greatest common factor 23,51,572 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 318/23, 655/51, 583/572

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 318/23, 655/51, 583/572?

Answer: LCM of Numerators as per given numbers 318/23, 655/51, 583/572 is

LCM of Numerators i.e. for 318,655,583 is 2291190

GCF of denominators i.e. for 23,51,572 is 1.

Thus, LCM of Fractions is 2291190.Finally, LCM of Fractions for 318/23, 655/51, 583/572 is 2291190.