Least Common Multiple of 683/24, 365/22, 115/455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 683/24, 365/22, 115/455 quickly i.e. 5733785 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 683/24, 365/22, 115/455 is 5733785.

LCM(683/24, 365/22, 115/455) = 5733785

LCM of 683/24, 365/22, 115/455

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 683/24,365/22,115/455

Given numbers are 683/24,365/22,115/455

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 683,365,115

Least Common Multiple of Numerators i.e. LCM of 683,365,115 is 5733785.

GCF of Denominators means GCF of 24,22,455 as per the given fractions.

GCF of 24,22,455 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 683,365,115

LCM of Fractions 683/24,365/22,115/455 is 5733785

5 683, 365, 115
683, 73, 23

∴ So the LCM of the given numbers is 5 x 683 x 73 x 23 = 5733785

Least Common Multiple of 683,365,115 with GCF Formula

Least Common Multiple of 683,365,115 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 683,365,115 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,365,115) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(683,365,115) x common factors =1 x 5 = 5

LCM(683,365,115) = ( 683 × 365 × 115 ) / 5

LCM(683,365,115) = 28668925 / 5

LCM(683,365,115) = 5733785


Lets's calculate GCF of 24,22,455

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5733785/1

Therefore the LCM of Fractions 683/24,365/22,115/455 is 5733785

Greatest Common Factor of 24,22,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,22,455 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 24,22,455 . The biggest common factor number is the GCF number.
So the greatest common factor 24,22,455 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 683/24, 365/22, 115/455

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 683/24, 365/22, 115/455?

Answer: LCM of Numerators as per given numbers 683/24, 365/22, 115/455 is

LCM of Numerators i.e. for 683,365,115 is 5733785

GCF of denominators i.e. for 24,22,455 is 1.

Thus, LCM of Fractions is 5733785.Finally, LCM of Fractions for 683/24, 365/22, 115/455 is 5733785.