Least Common Multiple of 35/460, 42/406, 305/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/460, 42/406, 305/450 quickly i.e. 6405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/460, 42/406, 305/450 is 6405.

LCM(35/460, 42/406, 305/450) = 6405

LCM of 35/460, 42/406, 305/450

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 35/460,42/406,305/450

Given numbers are 35/460,42/406,305/450

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 35,42,305

Least Common Multiple of Numerators i.e. LCM of 35,42,305 is 12810.

GCF of Denominators means GCF of 460,406,450 as per the given fractions.

GCF of 460,406,450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,42,305

LCM of Fractions 35/460,42/406,305/450 is 6405

5 35, 42, 305
7 7, 42, 61
1, 6, 61

∴ So the LCM of the given numbers is 5 x 7 x 1 x 6 x 61 = 12810

Least Common Multiple of 35,42,305 with GCF Formula

Least Common Multiple of 35,42,305 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 35,42,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,42,305) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(35,42,305) x common factors =1 x 35 = 35

LCM(35,42,305) = ( 35 × 42 × 305 ) / 35

LCM(35,42,305) = 448350 / 35

LCM(35,42,305) = 12810


Lets's calculate GCF of 460,406,450

2 460, 406, 450
230, 203, 225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12810/2

Therefore the LCM of Fractions 35/460,42/406,305/450 is 6405

Greatest Common Factor of 460,406,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,406,450 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 460,406,450 . The biggest common factor number is the GCF number.
So the greatest common factor 460,406,450 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 35/460, 42/406, 305/450

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 35/460, 42/406, 305/450?

Answer: LCM of Numerators as per given numbers 35/460, 42/406, 305/450 is

LCM of Numerators i.e. for 35,42,305 is 12810

GCF of denominators i.e. for 460,406,450 is 2.

Thus, LCM of Fractions is 6405.Finally, LCM of Fractions for 35/460, 42/406, 305/450 is 6405.