Least Common Multiple of 79/73, 11/30, 47/48, 68/383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/73, 11/30, 47/48, 68/383 quickly i.e. 2777324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/73, 11/30, 47/48, 68/383 is 2777324.

LCM(79/73, 11/30, 47/48, 68/383) = 2777324

LCM of 79/73, 11/30, 47/48, 68/383

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 79/73,11/30,47/48,68/383

Given numbers are 79/73,11/30,47/48,68/383

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 79,11,47,68

Least Common Multiple of Numerators i.e. LCM of 79,11,47,68 is 2777324.

GCF of Denominators means GCF of 73,30,48,383 as per the given fractions.

GCF of 73,30,48,383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,11,47,68

LCM of Fractions 79/73,11/30,47/48,68/383 is 2777324

Given numbers has no common factors except 1. So, there LCM is their product i.e 2777324

Least Common Multiple of 79,11,47,68 with GCF Formula

Least Common Multiple of 79,11,47,68 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 79,11,47,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,11,47,68) = 1

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

GCF(79,11,47,68) x common factors =1 x 1 = 1

LCM(79,11,47,68) = ( 79 × 11 × 47 × 68 ) / 1

LCM(79,11,47,68) = 2777324 / 1

LCM(79,11,47,68) = 2777324


Lets's calculate GCF of 73,30,48,383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2777324/1

Therefore the LCM of Fractions 79/73,11/30,47/48,68/383 is 2777324

Greatest Common Factor of 73,30,48,383 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,30,48,383 By Matching Biggest Common Factor Method

Factors of 73

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

1,73

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Greatest Common Factor

We found the factors 73,30,48,383 . The biggest common factor number is the GCF number.
So the greatest common factor 73,30,48,383 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/73, 11/30, 47/48, 68/383

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 79/73, 11/30, 47/48, 68/383?

Answer: LCM of Numerators as per given numbers 79/73, 11/30, 47/48, 68/383 is

LCM of Numerators i.e. for 79,11,47,68 is 2777324

GCF of denominators i.e. for 73,30,48,383 is 1.

Thus, LCM of Fractions is 2777324.Finally, LCM of Fractions for 79/73, 11/30, 47/48, 68/383 is 2777324.