Least Common Multiple of 3678/820, 1955/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3678/820, 1955/462 quickly i.e. 3595245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3678/820, 1955/462 is 3595245.

LCM(3678/820, 1955/462) = 3595245

LCM of 3678/820, 1955/462

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 3678/820,1955/462

Given numbers are 3678/820,1955/462

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 3678,1955

Least Common Multiple of Numerators i.e. LCM of 3678,1955 is 7190490.

GCF of Denominators means GCF of 820,462 as per the given fractions.

GCF of 820,462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3678,1955

LCM of Fractions 3678/820,1955/462 is 3595245

Given numbers has no common factors except 1. So, there LCM is their product i.e 7190490

Least Common Multiple of 3678,1955 with GCF Formula

Least Common Multiple of 3678,1955 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 3678,1955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3678,1955) = 1

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

GCF(3678,1955) x common factors =1 x 1 = 1

LCM(3678,1955) = ( 3678 × 1955 ) / 1

LCM(3678,1955) = 7190490 / 1

LCM(3678,1955) = 7190490


Lets's calculate GCF of 820,462

2 820, 462
410, 231

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7190490/2

Therefore the LCM of Fractions 3678/820,1955/462 is 3595245

Greatest Common Factor of 820,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,462 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

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 820,462 . The biggest common factor number is the GCF number.
So the greatest common factor 820,462 is 2.


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 3678/820, 1955/462

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 3678/820, 1955/462?

Answer: LCM of Numerators as per given numbers 3678/820, 1955/462 is

LCM of Numerators i.e. for 3678,1955 is 7190490

GCF of denominators i.e. for 820,462 is 2.

Thus, LCM of Fractions is 3595245.Finally, LCM of Fractions for 3678/820, 1955/462 is 3595245.