Least Common Multiple of 1620/820, 1824/351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1620/820, 1824/351 quickly i.e. 246240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1620/820, 1824/351 is 246240.

LCM(1620/820, 1824/351) = 246240

LCM of 1620/820, 1824/351

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 1620/820,1824/351

Given numbers are 1620/820,1824/351

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 1620,1824

Least Common Multiple of Numerators i.e. LCM of 1620,1824 is 246240.

GCF of Denominators means GCF of 820,351 as per the given fractions.

GCF of 820,351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1620,1824

LCM of Fractions 1620/820,1824/351 is 246240

2 1620, 1824
2 810, 912
3 405, 456
135, 152

∴ So the LCM of the given numbers is 2 x 2 x 3 x 135 x 152 = 246240

Least Common Multiple of 1620,1824 with GCF Formula

Least Common Multiple of 1620,1824 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 1620,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1620,1824) = 12

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

GCF(1620,1824) x common factors =12 x 1 = 12

LCM(1620,1824) = ( 1620 × 1824 ) / 12

LCM(1620,1824) = 2954880 / 12

LCM(1620,1824) = 246240


Lets's calculate GCF of 820,351

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246240/1

Therefore the LCM of Fractions 1620/820,1824/351 is 246240

Greatest Common Factor of 820,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,351 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 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 820,351 . The biggest common factor number is the GCF number.
So the greatest common factor 820,351 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 1620/820, 1824/351

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 1620/820, 1824/351?

Answer: LCM of Numerators as per given numbers 1620/820, 1824/351 is

LCM of Numerators i.e. for 1620,1824 is 246240

GCF of denominators i.e. for 820,351 is 1.

Thus, LCM of Fractions is 246240.Finally, LCM of Fractions for 1620/820, 1824/351 is 246240.