Least Common Multiple of 19/414, 922/861, 922/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/414, 922/861, 922/390 quickly i.e. 17518/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/414, 922/861, 922/390 is 17518/3.

LCM(19/414, 922/861, 922/390) = 17518/3

LCM of 19/414, 922/861, 922/390

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 19/414,922/861,922/390

Given numbers are 19/414,922/861,922/390

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 19,922,922

Least Common Multiple of Numerators i.e. LCM of 19,922,922 is 17518.

GCF of Denominators means GCF of 414,861,390 as per the given fractions.

GCF of 414,861,390 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,922,922

LCM of Fractions 19/414,922/861,922/390 is 17518/3

2 19, 922, 922
461 19, 461, 461
19, 1, 1

∴ So the LCM of the given numbers is 2 x 461 x 19 x 1 x 1 = 17518

Least Common Multiple of 19,922,922 with GCF Formula

Least Common Multiple of 19,922,922 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 19,922,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,922,922) = 1

common factors(in case of two or more numbers have common factors) = 922

GCF(19,922,922) x common factors =1 x 922 = 922

LCM(19,922,922) = ( 19 × 922 × 922 ) / 922

LCM(19,922,922) = 16151596 / 922

LCM(19,922,922) = 17518


Lets's calculate GCF of 414,861,390

3 414, 861, 390
138, 287, 130

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17518/3

Therefore the LCM of Fractions 19/414,922/861,922/390 is 17518/3

Greatest Common Factor of 414,861,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,861,390 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 414,861,390 . The biggest common factor number is the GCF number.
So the greatest common factor 414,861,390 is 3.


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 19/414, 922/861, 922/390

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 19/414, 922/861, 922/390?

Answer: LCM of Numerators as per given numbers 19/414, 922/861, 922/390 is

LCM of Numerators i.e. for 19,922,922 is 17518

GCF of denominators i.e. for 414,861,390 is 3.

Thus, LCM of Fractions is 17518/3.Finally, LCM of Fractions for 19/414, 922/861, 922/390 is 17518/3.