Least Common Multiple of 84/432, 4262/4064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/432, 4262/4064 quickly i.e. 179004/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/432, 4262/4064 is 179004/16.

LCM(84/432, 4262/4064) = 179004/16

LCM of 84/432, 4262/4064

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 84/432,4262/4064

Given numbers are 84/432,4262/4064

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 84,4262

Least Common Multiple of Numerators i.e. LCM of 84,4262 is 179004.

GCF of Denominators means GCF of 432,4064 as per the given fractions.

GCF of 432,4064 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,4262

LCM of Fractions 84/432,4262/4064 is 179004/16

2 84, 4262
42, 2131

∴ So the LCM of the given numbers is 2 x 42 x 2131 = 179004

Least Common Multiple of 84,4262 with GCF Formula

Least Common Multiple of 84,4262 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 84,4262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,4262) = 2

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

GCF(84,4262) x common factors =2 x 1 = 2

LCM(84,4262) = ( 84 × 4262 ) / 2

LCM(84,4262) = 358008 / 2

LCM(84,4262) = 179004


Lets's calculate GCF of 432,4064

2 432, 4064
2 216, 2032
2 108, 1016
2 54, 508
27, 254

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179004/16

Therefore the LCM of Fractions 84/432,4262/4064 is 179004/16

Greatest Common Factor of 432,4064 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,4064 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 4064

List of positive integer factors of 4064 that divides 4064 without a remainder.

1,2,4,8,16,32,127,254,508,1016,2032,4064

Greatest Common Factor

We found the factors 432,4064 . The biggest common factor number is the GCF number.
So the greatest common factor 432,4064 is 16.


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 84/432, 4262/4064

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 84/432, 4262/4064?

Answer: LCM of Numerators as per given numbers 84/432, 4262/4064 is

LCM of Numerators i.e. for 84,4262 is 179004

GCF of denominators i.e. for 432,4064 is 16.

Thus, LCM of Fractions is 179004/16.Finally, LCM of Fractions for 84/432, 4262/4064 is 179004/16.