Least Common Multiple of 19/48, 166/20, 854/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/48, 166/20, 854/566 quickly i.e. 673379 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/48, 166/20, 854/566 is 673379.

LCM(19/48, 166/20, 854/566) = 673379

LCM of 19/48, 166/20, 854/566

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 19/48,166/20,854/566

Given numbers are 19/48,166/20,854/566

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 19,166,854

Least Common Multiple of Numerators i.e. LCM of 19,166,854 is 1346758.

GCF of Denominators means GCF of 48,20,566 as per the given fractions.

GCF of 48,20,566 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,166,854

LCM of Fractions 19/48,166/20,854/566 is 673379

2 19, 166, 854
19, 83, 427

∴ So the LCM of the given numbers is 2 x 19 x 83 x 427 = 1346758

Least Common Multiple of 19,166,854 with GCF Formula

Least Common Multiple of 19,166,854 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 19,166,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,166,854) = 1

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

GCF(19,166,854) x common factors =1 x 2 = 2

LCM(19,166,854) = ( 19 × 166 × 854 ) / 2

LCM(19,166,854) = 2693516 / 2

LCM(19,166,854) = 1346758


Lets's calculate GCF of 48,20,566

2 48, 20, 566
24, 10, 283

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1346758/2

Therefore the LCM of Fractions 19/48,166/20,854/566 is 673379

Greatest Common Factor of 48,20,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,20,566 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 48,20,566 . The biggest common factor number is the GCF number.
So the greatest common factor 48,20,566 is 2.


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 19/48, 166/20, 854/566

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 19/48, 166/20, 854/566?

Answer: LCM of Numerators as per given numbers 19/48, 166/20, 854/566 is

LCM of Numerators i.e. for 19,166,854 is 1346758

GCF of denominators i.e. for 48,20,566 is 2.

Thus, LCM of Fractions is 673379.Finally, LCM of Fractions for 19/48, 166/20, 854/566 is 673379.