Least Common Multiple of 840/336, 2401/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/336, 2401/585 quickly i.e. 96040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/336, 2401/585 is 96040.

LCM(840/336, 2401/585) = 96040

LCM of 840/336, 2401/585

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 840/336,2401/585

Given numbers are 840/336,2401/585

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 840,2401

Least Common Multiple of Numerators i.e. LCM of 840,2401 is 288120.

GCF of Denominators means GCF of 336,585 as per the given fractions.

GCF of 336,585 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,2401

LCM of Fractions 840/336,2401/585 is 96040

7 840, 2401
120, 343

∴ So the LCM of the given numbers is 7 x 120 x 343 = 288120

Least Common Multiple of 840,2401 with GCF Formula

Least Common Multiple of 840,2401 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 840,2401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,2401) = 7

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

GCF(840,2401) x common factors =7 x 1 = 7

LCM(840,2401) = ( 840 × 2401 ) / 7

LCM(840,2401) = 2016840 / 7

LCM(840,2401) = 288120


Lets's calculate GCF of 336,585

3 336, 585
112, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288120/3

Therefore the LCM of Fractions 840/336,2401/585 is 96040

Greatest Common Factor of 336,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,585 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 336,585 . The biggest common factor number is the GCF number.
So the greatest common factor 336,585 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 840/336, 2401/585

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 840/336, 2401/585?

Answer: LCM of Numerators as per given numbers 840/336, 2401/585 is

LCM of Numerators i.e. for 840,2401 is 288120

GCF of denominators i.e. for 336,585 is 3.

Thus, LCM of Fractions is 96040.Finally, LCM of Fractions for 840/336, 2401/585 is 96040.