Least Common Multiple of 48/321, 940/868, 383/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/321, 940/868, 383/843 quickly i.e. 4320240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/321, 940/868, 383/843 is 4320240.

LCM(48/321, 940/868, 383/843) = 4320240

LCM of 48/321, 940/868, 383/843

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 48/321,940/868,383/843

Given numbers are 48/321,940/868,383/843

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 48,940,383

Least Common Multiple of Numerators i.e. LCM of 48,940,383 is 4320240.

GCF of Denominators means GCF of 321,868,843 as per the given fractions.

GCF of 321,868,843 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,940,383

LCM of Fractions 48/321,940/868,383/843 is 4320240

2 48, 940, 383
2 24, 470, 383
12, 235, 383

∴ So the LCM of the given numbers is 2 x 2 x 12 x 235 x 383 = 4320240

Least Common Multiple of 48,940,383 with GCF Formula

Least Common Multiple of 48,940,383 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 48,940,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,940,383) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(48,940,383) x common factors =1 x 4 = 4

LCM(48,940,383) = ( 48 × 940 × 383 ) / 4

LCM(48,940,383) = 17280960 / 4

LCM(48,940,383) = 4320240


Lets's calculate GCF of 321,868,843

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4320240/1

Therefore the LCM of Fractions 48/321,940/868,383/843 is 4320240

Greatest Common Factor of 321,868,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 321,868,843 By Matching Biggest Common Factor Method

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 321,868,843 . The biggest common factor number is the GCF number.
So the greatest common factor 321,868,843 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 48/321, 940/868, 383/843

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 48/321, 940/868, 383/843?

Answer: LCM of Numerators as per given numbers 48/321, 940/868, 383/843 is

LCM of Numerators i.e. for 48,940,383 is 4320240

GCF of denominators i.e. for 321,868,843 is 1.

Thus, LCM of Fractions is 4320240.Finally, LCM of Fractions for 48/321, 940/868, 383/843 is 4320240.