Least Common Multiple of 19/390, 917/966, 418/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/390, 917/966, 418/753 quickly i.e. 383306/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/390, 917/966, 418/753 is 383306/3.

LCM(19/390, 917/966, 418/753) = 383306/3

LCM of 19/390, 917/966, 418/753

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 19/390,917/966,418/753

Given numbers are 19/390,917/966,418/753

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 19,917,418

Least Common Multiple of Numerators i.e. LCM of 19,917,418 is 383306.

GCF of Denominators means GCF of 390,966,753 as per the given fractions.

GCF of 390,966,753 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,917,418

LCM of Fractions 19/390,917/966,418/753 is 383306/3

19 19, 917, 418
1, 917, 22

∴ So the LCM of the given numbers is 19 x 1 x 917 x 22 = 383306

Least Common Multiple of 19,917,418 with GCF Formula

Least Common Multiple of 19,917,418 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 19,917,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,917,418) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(19,917,418) x common factors =1 x 19 = 19

LCM(19,917,418) = ( 19 × 917 × 418 ) / 19

LCM(19,917,418) = 7282814 / 19

LCM(19,917,418) = 383306


Lets's calculate GCF of 390,966,753

3 390, 966, 753
130, 322, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 383306/3

Therefore the LCM of Fractions 19/390,917/966,418/753 is 383306/3

Greatest Common Factor of 390,966,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,966,753 By Matching Biggest Common Factor Method

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

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 390,966,753 . The biggest common factor number is the GCF number.
So the greatest common factor 390,966,753 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 19/390, 917/966, 418/753

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 19/390, 917/966, 418/753?

Answer: LCM of Numerators as per given numbers 19/390, 917/966, 418/753 is

LCM of Numerators i.e. for 19,917,418 is 383306

GCF of denominators i.e. for 390,966,753 is 3.

Thus, LCM of Fractions is 383306/3.Finally, LCM of Fractions for 19/390, 917/966, 418/753 is 383306/3.