Least Common Multiple of 28/828, 329/181, 840/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/828, 329/181, 840/462 quickly i.e. 39480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/828, 329/181, 840/462 is 39480.

LCM(28/828, 329/181, 840/462) = 39480

LCM of 28/828, 329/181, 840/462

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 28/828,329/181,840/462

Given numbers are 28/828,329/181,840/462

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 28,329,840

Least Common Multiple of Numerators i.e. LCM of 28,329,840 is 39480.

GCF of Denominators means GCF of 828,181,462 as per the given fractions.

GCF of 828,181,462 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,329,840

LCM of Fractions 28/828,329/181,840/462 is 39480

2 28, 329, 840
2 14, 329, 420
7 7, 329, 210
1, 47, 30

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 47 x 30 = 39480

Least Common Multiple of 28,329,840 with GCF Formula

Least Common Multiple of 28,329,840 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 28,329,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,329,840) = 7

common factors(in case of two or more numbers have common factors) = 28

GCF(28,329,840) x common factors =7 x 28 = 196

LCM(28,329,840) = ( 28 × 329 × 840 ) / 196

LCM(28,329,840) = 7738080 / 196

LCM(28,329,840) = 39480


Lets's calculate GCF of 828,181,462

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39480/1

Therefore the LCM of Fractions 28/828,329/181,840/462 is 39480

Greatest Common Factor of 828,181,462 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,181,462 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

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 828,181,462 . The biggest common factor number is the GCF number.
So the greatest common factor 828,181,462 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 28/828, 329/181, 840/462

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 28/828, 329/181, 840/462?

Answer: LCM of Numerators as per given numbers 28/828, 329/181, 840/462 is

LCM of Numerators i.e. for 28,329,840 is 39480

GCF of denominators i.e. for 828,181,462 is 1.

Thus, LCM of Fractions is 39480.Finally, LCM of Fractions for 28/828, 329/181, 840/462 is 39480.