Least Common Multiple of 1/24, 75/414, 64/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/24, 75/414, 64/742 quickly i.e. 2400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/24, 75/414, 64/742 is 2400.

LCM(1/24, 75/414, 64/742) = 2400

LCM of 1/24, 75/414, 64/742

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 1/24,75/414,64/742

Given numbers are 1/24,75/414,64/742

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 1,75,64

Least Common Multiple of Numerators i.e. LCM of 1,75,64 is 4800.

GCF of Denominators means GCF of 24,414,742 as per the given fractions.

GCF of 24,414,742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,75,64

LCM of Fractions 1/24,75/414,64/742 is 2400

Given numbers has no common factors except 1. So, there LCM is their product i.e 4800

Least Common Multiple of 1,75,64 with GCF Formula

Least Common Multiple of 1,75,64 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 1,75,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,75,64) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(1,75,64) x common factors =1 x 1 = 1

LCM(1,75,64) = ( 1 × 75 × 64 ) / 1

LCM(1,75,64) = 4800 / 1

LCM(1,75,64) = 4800


Lets's calculate GCF of 24,414,742

2 24, 414, 742
12, 207, 371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4800/2

Therefore the LCM of Fractions 1/24,75/414,64/742 is 2400

Greatest Common Factor of 24,414,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,414,742 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 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 24,414,742 . The biggest common factor number is the GCF number.
So the greatest common factor 24,414,742 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 1/24, 75/414, 64/742

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 1/24, 75/414, 64/742?

Answer: LCM of Numerators as per given numbers 1/24, 75/414, 64/742 is

LCM of Numerators i.e. for 1,75,64 is 4800

GCF of denominators i.e. for 24,414,742 is 2.

Thus, LCM of Fractions is 2400.Finally, LCM of Fractions for 1/24, 75/414, 64/742 is 2400.