Least Common Multiple of 44/19, 38/23, 84/63, 74/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/19, 38/23, 84/63, 74/294 quickly i.e. 649572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/19, 38/23, 84/63, 74/294 is 649572.

LCM(44/19, 38/23, 84/63, 74/294) = 649572

LCM of 44/19, 38/23, 84/63, 74/294

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 44/19,38/23,84/63,74/294

Given numbers are 44/19,38/23,84/63,74/294

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 44,38,84,74

Least Common Multiple of Numerators i.e. LCM of 44,38,84,74 is 649572.

GCF of Denominators means GCF of 19,23,63,294 as per the given fractions.

GCF of 19,23,63,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,38,84,74

LCM of Fractions 44/19,38/23,84/63,74/294 is 649572

2 44, 38, 84, 74
2 22, 19, 42, 37
11, 19, 21, 37

∴ So the LCM of the given numbers is 2 x 2 x 11 x 19 x 21 x 37 = 649572

Least Common Multiple of 44,38,84,74 with GCF Formula

Least Common Multiple of 44,38,84,74 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 44,38,84,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,38,84,74) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(44,38,84,74) x common factors =2 x 8 = 16

LCM(44,38,84,74) = ( 44 × 38 × 84 × 74 ) / 16

LCM(44,38,84,74) = 10393152 / 16

LCM(44,38,84,74) = 649572


Lets's calculate GCF of 19,23,63,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 649572/1

Therefore the LCM of Fractions 44/19,38/23,84/63,74/294 is 649572

Greatest Common Factor of 19,23,63,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,23,63,294 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 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 19,23,63,294 . The biggest common factor number is the GCF number.
So the greatest common factor 19,23,63,294 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 44/19, 38/23, 84/63, 74/294

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 44/19, 38/23, 84/63, 74/294?

Answer: LCM of Numerators as per given numbers 44/19, 38/23, 84/63, 74/294 is

LCM of Numerators i.e. for 44,38,84,74 is 649572

GCF of denominators i.e. for 19,23,63,294 is 1.

Thus, LCM of Fractions is 649572.Finally, LCM of Fractions for 44/19, 38/23, 84/63, 74/294 is 649572.