Least Common Multiple of 3284/433, 7132/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3284/433, 7132/572 quickly i.e. 5855372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3284/433, 7132/572 is 5855372.

LCM(3284/433, 7132/572) = 5855372

LCM of 3284/433, 7132/572

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 3284/433,7132/572

Given numbers are 3284/433,7132/572

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 3284,7132

Least Common Multiple of Numerators i.e. LCM of 3284,7132 is 5855372.

GCF of Denominators means GCF of 433,572 as per the given fractions.

GCF of 433,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3284,7132

LCM of Fractions 3284/433,7132/572 is 5855372

2 3284, 7132
2 1642, 3566
821, 1783

∴ So the LCM of the given numbers is 2 x 2 x 821 x 1783 = 5855372

Least Common Multiple of 3284,7132 with GCF Formula

Least Common Multiple of 3284,7132 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 3284,7132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3284,7132) = 4

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

GCF(3284,7132) x common factors =4 x 1 = 4

LCM(3284,7132) = ( 3284 × 7132 ) / 4

LCM(3284,7132) = 23421488 / 4

LCM(3284,7132) = 5855372


Lets's calculate GCF of 433,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5855372/1

Therefore the LCM of Fractions 3284/433,7132/572 is 5855372

Greatest Common Factor of 433,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 433,572 By Matching Biggest Common Factor Method

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 433,572 . The biggest common factor number is the GCF number.
So the greatest common factor 433,572 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 3284/433, 7132/572

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 3284/433, 7132/572?

Answer: LCM of Numerators as per given numbers 3284/433, 7132/572 is

LCM of Numerators i.e. for 3284,7132 is 5855372

GCF of denominators i.e. for 433,572 is 1.

Thus, LCM of Fractions is 5855372.Finally, LCM of Fractions for 3284/433, 7132/572 is 5855372.