Least Common Multiple of 461/24, 768/8785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/24, 768/8785 quickly i.e. 354048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/24, 768/8785 is 354048.

LCM(461/24, 768/8785) = 354048

LCM of 461/24, 768/8785

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 461/24,768/8785

Given numbers are 461/24,768/8785

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 461,768

Least Common Multiple of Numerators i.e. LCM of 461,768 is 354048.

GCF of Denominators means GCF of 24,8785 as per the given fractions.

GCF of 24,8785 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,768

LCM of Fractions 461/24,768/8785 is 354048

Given numbers has no common factors except 1. So, there LCM is their product i.e 354048

Least Common Multiple of 461,768 with GCF Formula

Least Common Multiple of 461,768 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 461,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,768) = 1

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

GCF(461,768) x common factors =1 x 1 = 1

LCM(461,768) = ( 461 × 768 ) / 1

LCM(461,768) = 354048 / 1

LCM(461,768) = 354048


Lets's calculate GCF of 24,8785

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 354048/1

Therefore the LCM of Fractions 461/24,768/8785 is 354048

Greatest Common Factor of 24,8785 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,8785 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 8785

List of positive integer factors of 8785 that divides 8785 without a remainder.

1,5,7,35,251,1255,1757,8785

Greatest Common Factor

We found the factors 24,8785 . The biggest common factor number is the GCF number.
So the greatest common factor 24,8785 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 461/24, 768/8785

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 461/24, 768/8785?

Answer: LCM of Numerators as per given numbers 461/24, 768/8785 is

LCM of Numerators i.e. for 461,768 is 354048

GCF of denominators i.e. for 24,8785 is 1.

Thus, LCM of Fractions is 354048.Finally, LCM of Fractions for 461/24, 768/8785 is 354048.