Least Common Multiple of 34/24, 66/60, 299/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/24, 66/60, 299/984 quickly i.e. 335478/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/24, 66/60, 299/984 is 335478/12.

LCM(34/24, 66/60, 299/984) = 335478/12

LCM of 34/24, 66/60, 299/984

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 34/24,66/60,299/984

Given numbers are 34/24,66/60,299/984

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 34,66,299

Least Common Multiple of Numerators i.e. LCM of 34,66,299 is 335478.

GCF of Denominators means GCF of 24,60,984 as per the given fractions.

GCF of 24,60,984 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,66,299

LCM of Fractions 34/24,66/60,299/984 is 335478/12

2 34, 66, 299
17, 33, 299

∴ So the LCM of the given numbers is 2 x 17 x 33 x 299 = 335478

Least Common Multiple of 34,66,299 with GCF Formula

Least Common Multiple of 34,66,299 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 34,66,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,66,299) = 1

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

GCF(34,66,299) x common factors =1 x 2 = 2

LCM(34,66,299) = ( 34 × 66 × 299 ) / 2

LCM(34,66,299) = 670956 / 2

LCM(34,66,299) = 335478


Lets's calculate GCF of 24,60,984

2 24, 60, 984
2 12, 30, 492
3 6, 15, 246
2, 5, 82

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 335478/12

Therefore the LCM of Fractions 34/24,66/60,299/984 is 335478/12

Greatest Common Factor of 24,60,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,60,984 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 24,60,984 . The biggest common factor number is the GCF number.
So the greatest common factor 24,60,984 is 12.


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 34/24, 66/60, 299/984

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 34/24, 66/60, 299/984?

Answer: LCM of Numerators as per given numbers 34/24, 66/60, 299/984 is

LCM of Numerators i.e. for 34,66,299 is 335478

GCF of denominators i.e. for 24,60,984 is 12.

Thus, LCM of Fractions is 335478/12.Finally, LCM of Fractions for 34/24, 66/60, 299/984 is 335478/12.