Least Common Multiple of 319/48, 845/20, 417/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/48, 845/20, 417/392 quickly i.e. 112404435/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/48, 845/20, 417/392 is 112404435/4.

LCM(319/48, 845/20, 417/392) = 112404435/4

LCM of 319/48, 845/20, 417/392

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 319/48,845/20,417/392

Given numbers are 319/48,845/20,417/392

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 319,845,417

Least Common Multiple of Numerators i.e. LCM of 319,845,417 is 112404435.

GCF of Denominators means GCF of 48,20,392 as per the given fractions.

GCF of 48,20,392 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,845,417

LCM of Fractions 319/48,845/20,417/392 is 112404435/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 112404435

Least Common Multiple of 319,845,417 with GCF Formula

Least Common Multiple of 319,845,417 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 319,845,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,845,417) = 1

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

GCF(319,845,417) x common factors =1 x 1 = 1

LCM(319,845,417) = ( 319 × 845 × 417 ) / 1

LCM(319,845,417) = 112404435 / 1

LCM(319,845,417) = 112404435


Lets's calculate GCF of 48,20,392

2 48, 20, 392
2 24, 10, 196
12, 5, 98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112404435/4

Therefore the LCM of Fractions 319/48,845/20,417/392 is 112404435/4

Greatest Common Factor of 48,20,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,20,392 By Matching Biggest Common Factor Method

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 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 48,20,392 . The biggest common factor number is the GCF number.
So the greatest common factor 48,20,392 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 319/48, 845/20, 417/392

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 319/48, 845/20, 417/392?

Answer: LCM of Numerators as per given numbers 319/48, 845/20, 417/392 is

LCM of Numerators i.e. for 319,845,417 is 112404435

GCF of denominators i.e. for 48,20,392 is 4.

Thus, LCM of Fractions is 112404435/4.Finally, LCM of Fractions for 319/48, 845/20, 417/392 is 112404435/4.