Least Common Multiple of 13/19, 706/60, 914/472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/19, 706/60, 914/472 quickly i.e. 4194346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/19, 706/60, 914/472 is 4194346.

LCM(13/19, 706/60, 914/472) = 4194346

LCM of 13/19, 706/60, 914/472

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 13/19,706/60,914/472

Given numbers are 13/19,706/60,914/472

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 13,706,914

Least Common Multiple of Numerators i.e. LCM of 13,706,914 is 4194346.

GCF of Denominators means GCF of 19,60,472 as per the given fractions.

GCF of 19,60,472 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,706,914

LCM of Fractions 13/19,706/60,914/472 is 4194346

2 13, 706, 914
13, 353, 457

∴ So the LCM of the given numbers is 2 x 13 x 353 x 457 = 4194346

Least Common Multiple of 13,706,914 with GCF Formula

Least Common Multiple of 13,706,914 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 13,706,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,706,914) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(13,706,914) x common factors =1 x 2 = 2

LCM(13,706,914) = ( 13 × 706 × 914 ) / 2

LCM(13,706,914) = 8388692 / 2

LCM(13,706,914) = 4194346


Lets's calculate GCF of 19,60,472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4194346/1

Therefore the LCM of Fractions 13/19,706/60,914/472 is 4194346

Greatest Common Factor of 19,60,472 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,60,472 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Greatest Common Factor

We found the factors 19,60,472 . The biggest common factor number is the GCF number.
So the greatest common factor 19,60,472 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 13/19, 706/60, 914/472

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 13/19, 706/60, 914/472?

Answer: LCM of Numerators as per given numbers 13/19, 706/60, 914/472 is

LCM of Numerators i.e. for 13,706,914 is 4194346

GCF of denominators i.e. for 19,60,472 is 1.

Thus, LCM of Fractions is 4194346.Finally, LCM of Fractions for 13/19, 706/60, 914/472 is 4194346.