Least Common Multiple of 319/14, 835/45, 247/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 319/14, 835/45, 247/538 quickly i.e. 65792155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 319/14, 835/45, 247/538 is 65792155.

LCM(319/14, 835/45, 247/538) = 65792155

LCM of 319/14, 835/45, 247/538

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 319/14,835/45,247/538

Given numbers are 319/14,835/45,247/538

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 319,835,247

Least Common Multiple of Numerators i.e. LCM of 319,835,247 is 65792155.

GCF of Denominators means GCF of 14,45,538 as per the given fractions.

GCF of 14,45,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 319,835,247

LCM of Fractions 319/14,835/45,247/538 is 65792155

Given numbers has no common factors except 1. So, there LCM is their product i.e 65792155

Least Common Multiple of 319,835,247 with GCF Formula

Least Common Multiple of 319,835,247 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 319,835,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,835,247) = 1

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

GCF(319,835,247) x common factors =1 x 1 = 1

LCM(319,835,247) = ( 319 × 835 × 247 ) / 1

LCM(319,835,247) = 65792155 / 1

LCM(319,835,247) = 65792155


Lets's calculate GCF of 14,45,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65792155/1

Therefore the LCM of Fractions 319/14,835/45,247/538 is 65792155

Greatest Common Factor of 14,45,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,45,538 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 14,45,538 . The biggest common factor number is the GCF number.
So the greatest common factor 14,45,538 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 319/14, 835/45, 247/538

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 319/14, 835/45, 247/538?

Answer: LCM of Numerators as per given numbers 319/14, 835/45, 247/538 is

LCM of Numerators i.e. for 319,835,247 is 65792155

GCF of denominators i.e. for 14,45,538 is 1.

Thus, LCM of Fractions is 65792155.Finally, LCM of Fractions for 319/14, 835/45, 247/538 is 65792155.