Least Common Multiple of 586/72, 196/73, 313/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 586/72, 196/73, 313/954 quickly i.e. 17974964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 586/72, 196/73, 313/954 is 17974964.

LCM(586/72, 196/73, 313/954) = 17974964

LCM of 586/72, 196/73, 313/954

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 586/72,196/73,313/954

Given numbers are 586/72,196/73,313/954

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 586,196,313

Least Common Multiple of Numerators i.e. LCM of 586,196,313 is 17974964.

GCF of Denominators means GCF of 72,73,954 as per the given fractions.

GCF of 72,73,954 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 586,196,313

LCM of Fractions 586/72,196/73,313/954 is 17974964

2 586, 196, 313
293, 98, 313

∴ So the LCM of the given numbers is 2 x 293 x 98 x 313 = 17974964

Least Common Multiple of 586,196,313 with GCF Formula

Least Common Multiple of 586,196,313 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 586,196,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(586,196,313) = 1

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

GCF(586,196,313) x common factors =1 x 2 = 2

LCM(586,196,313) = ( 586 × 196 × 313 ) / 2

LCM(586,196,313) = 35949928 / 2

LCM(586,196,313) = 17974964


Lets's calculate GCF of 72,73,954

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17974964/1

Therefore the LCM of Fractions 586/72,196/73,313/954 is 17974964

Greatest Common Factor of 72,73,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,73,954 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 72,73,954 . The biggest common factor number is the GCF number.
So the greatest common factor 72,73,954 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 586/72, 196/73, 313/954

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 586/72, 196/73, 313/954?

Answer: LCM of Numerators as per given numbers 586/72, 196/73, 313/954 is

LCM of Numerators i.e. for 586,196,313 is 17974964

GCF of denominators i.e. for 72,73,954 is 1.

Thus, LCM of Fractions is 17974964.Finally, LCM of Fractions for 586/72, 196/73, 313/954 is 17974964.