Least Common Multiple of 410/84, 572/5732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/84, 572/5732 quickly i.e. 29315 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/84, 572/5732 is 29315.

LCM(410/84, 572/5732) = 29315

LCM of 410/84, 572/5732

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 410/84,572/5732

Given numbers are 410/84,572/5732

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 410,572

Least Common Multiple of Numerators i.e. LCM of 410,572 is 117260.

GCF of Denominators means GCF of 84,5732 as per the given fractions.

GCF of 84,5732 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,572

LCM of Fractions 410/84,572/5732 is 29315

2 410, 572
205, 286

∴ So the LCM of the given numbers is 2 x 205 x 286 = 117260

Least Common Multiple of 410,572 with GCF Formula

Least Common Multiple of 410,572 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 410,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,572) = 2

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

GCF(410,572) x common factors =2 x 1 = 2

LCM(410,572) = ( 410 × 572 ) / 2

LCM(410,572) = 234520 / 2

LCM(410,572) = 117260


Lets's calculate GCF of 84,5732

2 84, 5732
2 42, 2866
21, 1433

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 117260/4

Therefore the LCM of Fractions 410/84,572/5732 is 29315

Greatest Common Factor of 84,5732 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,5732 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 5732

List of positive integer factors of 5732 that divides 5732 without a remainder.

1,2,4,1433,2866,5732

Greatest Common Factor

We found the factors 84,5732 . The biggest common factor number is the GCF number.
So the greatest common factor 84,5732 is 4.


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 410/84, 572/5732

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 410/84, 572/5732?

Answer: LCM of Numerators as per given numbers 410/84, 572/5732 is

LCM of Numerators i.e. for 410,572 is 117260

GCF of denominators i.e. for 84,5732 is 4.

Thus, LCM of Fractions is 29315.Finally, LCM of Fractions for 410/84, 572/5732 is 29315.