Least Common Multiple of 93/44, 74/88, 24/63, 68/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/44, 74/88, 24/63, 68/282 quickly i.e. 467976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/44, 74/88, 24/63, 68/282 is 467976.

LCM(93/44, 74/88, 24/63, 68/282) = 467976

LCM of 93/44, 74/88, 24/63, 68/282

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 93/44,74/88,24/63,68/282

Given numbers are 93/44,74/88,24/63,68/282

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 93,74,24,68

Least Common Multiple of Numerators i.e. LCM of 93,74,24,68 is 467976.

GCF of Denominators means GCF of 44,88,63,282 as per the given fractions.

GCF of 44,88,63,282 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,74,24,68

LCM of Fractions 93/44,74/88,24/63,68/282 is 467976

2 93, 74, 24, 68
2 93, 37, 12, 34
3 93, 37, 6, 17
31, 37, 2, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 37 x 2 x 17 = 467976

Least Common Multiple of 93,74,24,68 with GCF Formula

Least Common Multiple of 93,74,24,68 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 93,74,24,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,74,24,68) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(93,74,24,68) x common factors =1 x 24 = 24

LCM(93,74,24,68) = ( 93 × 74 × 24 × 68 ) / 24

LCM(93,74,24,68) = 11231424 / 24

LCM(93,74,24,68) = 467976


Lets's calculate GCF of 44,88,63,282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467976/1

Therefore the LCM of Fractions 93/44,74/88,24/63,68/282 is 467976

Greatest Common Factor of 44,88,63,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,88,63,282 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 63

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

1,3,7,9,21,63

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 44,88,63,282 . The biggest common factor number is the GCF number.
So the greatest common factor 44,88,63,282 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 93/44, 74/88, 24/63, 68/282

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 93/44, 74/88, 24/63, 68/282?

Answer: LCM of Numerators as per given numbers 93/44, 74/88, 24/63, 68/282 is

LCM of Numerators i.e. for 93,74,24,68 is 467976

GCF of denominators i.e. for 44,88,63,282 is 1.

Thus, LCM of Fractions is 467976.Finally, LCM of Fractions for 93/44, 74/88, 24/63, 68/282 is 467976.