Least Common Multiple of 34/24, 68/72, 64/478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/24, 68/72, 64/478 quickly i.e. 544 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, 68/72, 64/478 is 544.

LCM(34/24, 68/72, 64/478) = 544

LCM of 34/24, 68/72, 64/478

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 34/24,68/72,64/478

Given numbers are 34/24,68/72,64/478

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 34,68,64

Least Common Multiple of Numerators i.e. LCM of 34,68,64 is 1088.

GCF of Denominators means GCF of 24,72,478 as per the given fractions.

GCF of 24,72,478 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,68,64

LCM of Fractions 34/24,68/72,64/478 is 544

2 34, 68, 64
2 17, 34, 32
17 17, 17, 16
1, 1, 16

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 1 x 16 = 1088

Least Common Multiple of 34,68,64 with GCF Formula

Least Common Multiple of 34,68,64 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 34,68,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,68,64) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(34,68,64) x common factors =2 x 68 = 136

LCM(34,68,64) = ( 34 × 68 × 64 ) / 136

LCM(34,68,64) = 147968 / 136

LCM(34,68,64) = 1088


Lets's calculate GCF of 24,72,478

2 24, 72, 478
12, 36, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1088/2

Therefore the LCM of Fractions 34/24,68/72,64/478 is 544

Greatest Common Factor of 24,72,478 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,72,478 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 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1,2,239,478

Greatest Common Factor

We found the factors 24,72,478 . The biggest common factor number is the GCF number.
So the greatest common factor 24,72,478 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 34/24, 68/72, 64/478

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, 68/72, 64/478?

Answer: LCM of Numerators as per given numbers 34/24, 68/72, 64/478 is

LCM of Numerators i.e. for 34,68,64 is 1088

GCF of denominators i.e. for 24,72,478 is 2.

Thus, LCM of Fractions is 544.Finally, LCM of Fractions for 34/24, 68/72, 64/478 is 544.