Least Common Multiple of 39/413, 19/245, 960/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/413, 19/245, 960/883 quickly i.e. 237120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/413, 19/245, 960/883 is 237120.

LCM(39/413, 19/245, 960/883) = 237120

LCM of 39/413, 19/245, 960/883

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 39/413,19/245,960/883

Given numbers are 39/413,19/245,960/883

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 39,19,960

Least Common Multiple of Numerators i.e. LCM of 39,19,960 is 237120.

GCF of Denominators means GCF of 413,245,883 as per the given fractions.

GCF of 413,245,883 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,19,960

LCM of Fractions 39/413,19/245,960/883 is 237120

3 39, 19, 960
13, 19, 320

∴ So the LCM of the given numbers is 3 x 13 x 19 x 320 = 237120

Least Common Multiple of 39,19,960 with GCF Formula

Least Common Multiple of 39,19,960 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 39,19,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,19,960) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,19,960) x common factors =1 x 3 = 3

LCM(39,19,960) = ( 39 × 19 × 960 ) / 3

LCM(39,19,960) = 711360 / 3

LCM(39,19,960) = 237120


Lets's calculate GCF of 413,245,883

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237120/1

Therefore the LCM of Fractions 39/413,19/245,960/883 is 237120

Greatest Common Factor of 413,245,883 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,245,883 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 245

List of positive integer factors of 245 that divides 245 without a remainder.

1,5,7,35,49,245

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Greatest Common Factor

We found the factors 413,245,883 . The biggest common factor number is the GCF number.
So the greatest common factor 413,245,883 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 39/413, 19/245, 960/883

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 39/413, 19/245, 960/883?

Answer: LCM of Numerators as per given numbers 39/413, 19/245, 960/883 is

LCM of Numerators i.e. for 39,19,960 is 237120

GCF of denominators i.e. for 413,245,883 is 1.

Thus, LCM of Fractions is 237120.Finally, LCM of Fractions for 39/413, 19/245, 960/883 is 237120.