Least Common Multiple of 410/205, 5235/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/205, 5235/420 quickly i.e. 85854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/205, 5235/420 is 85854.

LCM(410/205, 5235/420) = 85854

LCM of 410/205, 5235/420

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 410/205,5235/420

Given numbers are 410/205,5235/420

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 410,5235

Least Common Multiple of Numerators i.e. LCM of 410,5235 is 429270.

GCF of Denominators means GCF of 205,420 as per the given fractions.

GCF of 205,420 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,5235

LCM of Fractions 410/205,5235/420 is 85854

5 410, 5235
82, 1047

∴ So the LCM of the given numbers is 5 x 82 x 1047 = 429270

Least Common Multiple of 410,5235 with GCF Formula

Least Common Multiple of 410,5235 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 410,5235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,5235) = 5

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

GCF(410,5235) x common factors =5 x 1 = 5

LCM(410,5235) = ( 410 × 5235 ) / 5

LCM(410,5235) = 2146350 / 5

LCM(410,5235) = 429270


Lets's calculate GCF of 205,420

5 205, 420
41, 84

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 429270/5

Therefore the LCM of Fractions 410/205,5235/420 is 85854

Greatest Common Factor of 205,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 205,420 By Matching Biggest Common Factor Method

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 205,420 . The biggest common factor number is the GCF number.
So the greatest common factor 205,420 is 5.


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 410/205, 5235/420

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 410/205, 5235/420?

Answer: LCM of Numerators as per given numbers 410/205, 5235/420 is

LCM of Numerators i.e. for 410,5235 is 429270

GCF of denominators i.e. for 205,420 is 5.

Thus, LCM of Fractions is 85854.Finally, LCM of Fractions for 410/205, 5235/420 is 85854.