Least Common Multiple of 319/456, 198/665, 560/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/456, 198/665, 560/248 quickly i.e. 1607760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/456, 198/665, 560/248 is 1607760.

LCM(319/456, 198/665, 560/248) = 1607760

LCM of 319/456, 198/665, 560/248

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 319/456,198/665,560/248

Given numbers are 319/456,198/665,560/248

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 319,198,560

Least Common Multiple of Numerators i.e. LCM of 319,198,560 is 1607760.

GCF of Denominators means GCF of 456,665,248 as per the given fractions.

GCF of 456,665,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,198,560

LCM of Fractions 319/456,198/665,560/248 is 1607760

2 319, 198, 560
11 319, 99, 280
29, 9, 280

∴ So the LCM of the given numbers is 2 x 11 x 29 x 9 x 280 = 1607760

Least Common Multiple of 319,198,560 with GCF Formula

Least Common Multiple of 319,198,560 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 319,198,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,198,560) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(319,198,560) x common factors =1 x 22 = 22

LCM(319,198,560) = ( 319 × 198 × 560 ) / 22

LCM(319,198,560) = 35370720 / 22

LCM(319,198,560) = 1607760


Lets's calculate GCF of 456,665,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1607760/1

Therefore the LCM of Fractions 319/456,198/665,560/248 is 1607760

Greatest Common Factor of 456,665,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,665,248 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 456,665,248 . The biggest common factor number is the GCF number.
So the greatest common factor 456,665,248 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 319/456, 198/665, 560/248

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 319/456, 198/665, 560/248?

Answer: LCM of Numerators as per given numbers 319/456, 198/665, 560/248 is

LCM of Numerators i.e. for 319,198,560 is 1607760

GCF of denominators i.e. for 456,665,248 is 1.

Thus, LCM of Fractions is 1607760.Finally, LCM of Fractions for 319/456, 198/665, 560/248 is 1607760.