Least Common Multiple of 40/865, 348/805, 384/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/865, 348/805, 384/823 quickly i.e. 55680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/865, 348/805, 384/823 is 55680.

LCM(40/865, 348/805, 384/823) = 55680

LCM of 40/865, 348/805, 384/823

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 40/865,348/805,384/823

Given numbers are 40/865,348/805,384/823

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 40,348,384

Least Common Multiple of Numerators i.e. LCM of 40,348,384 is 55680.

GCF of Denominators means GCF of 865,805,823 as per the given fractions.

GCF of 865,805,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,348,384

LCM of Fractions 40/865,348/805,384/823 is 55680

2 40, 348, 384
2 20, 174, 192
2 10, 87, 96
3 5, 87, 48
5, 29, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 29 x 16 = 55680

Least Common Multiple of 40,348,384 with GCF Formula

Least Common Multiple of 40,348,384 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 40,348,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,348,384) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(40,348,384) x common factors =4 x 24 = 96

LCM(40,348,384) = ( 40 × 348 × 384 ) / 96

LCM(40,348,384) = 5345280 / 96

LCM(40,348,384) = 55680


Lets's calculate GCF of 865,805,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55680/1

Therefore the LCM of Fractions 40/865,348/805,384/823 is 55680

Greatest Common Factor of 865,805,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,805,823 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 865,805,823 . The biggest common factor number is the GCF number.
So the greatest common factor 865,805,823 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 40/865, 348/805, 384/823

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 40/865, 348/805, 384/823?

Answer: LCM of Numerators as per given numbers 40/865, 348/805, 384/823 is

LCM of Numerators i.e. for 40,348,384 is 55680

GCF of denominators i.e. for 865,805,823 is 1.

Thus, LCM of Fractions is 55680.Finally, LCM of Fractions for 40/865, 348/805, 384/823 is 55680.