Least Common Multiple of 321/45, 1882/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/45, 1882/462 quickly i.e. 201374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/45, 1882/462 is 201374.

LCM(321/45, 1882/462) = 201374

LCM of 321/45, 1882/462

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 321/45,1882/462

Given numbers are 321/45,1882/462

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 321,1882

Least Common Multiple of Numerators i.e. LCM of 321,1882 is 604122.

GCF of Denominators means GCF of 45,462 as per the given fractions.

GCF of 45,462 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,1882

LCM of Fractions 321/45,1882/462 is 201374

Given numbers has no common factors except 1. So, there LCM is their product i.e 604122

Least Common Multiple of 321,1882 with GCF Formula

Least Common Multiple of 321,1882 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 321,1882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,1882) = 1

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

GCF(321,1882) x common factors =1 x 1 = 1

LCM(321,1882) = ( 321 × 1882 ) / 1

LCM(321,1882) = 604122 / 1

LCM(321,1882) = 604122


Lets's calculate GCF of 45,462

3 45, 462
15, 154

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 604122/3

Therefore the LCM of Fractions 321/45,1882/462 is 201374

Greatest Common Factor of 45,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,462 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Greatest Common Factor

We found the factors 45,462 . The biggest common factor number is the GCF number.
So the greatest common factor 45,462 is 3.


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 321/45, 1882/462

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 321/45, 1882/462?

Answer: LCM of Numerators as per given numbers 321/45, 1882/462 is

LCM of Numerators i.e. for 321,1882 is 604122

GCF of denominators i.e. for 45,462 is 3.

Thus, LCM of Fractions is 201374.Finally, LCM of Fractions for 321/45, 1882/462 is 201374.