Least Common Multiple of 570/21, 632/31, 576/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 570/21, 632/31, 576/352 quickly i.e. 4322880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 570/21, 632/31, 576/352 is 4322880.

LCM(570/21, 632/31, 576/352) = 4322880

LCM of 570/21, 632/31, 576/352

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 570/21,632/31,576/352

Given numbers are 570/21,632/31,576/352

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 570,632,576

Least Common Multiple of Numerators i.e. LCM of 570,632,576 is 4322880.

GCF of Denominators means GCF of 21,31,352 as per the given fractions.

GCF of 21,31,352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 570,632,576

LCM of Fractions 570/21,632/31,576/352 is 4322880

2 570, 632, 576
2 285, 316, 288
2 285, 158, 144
3 285, 79, 72
95, 79, 24

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 95 x 79 x 24 = 4322880

Least Common Multiple of 570,632,576 with GCF Formula

Least Common Multiple of 570,632,576 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 570,632,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,632,576) = 2

common factors(in case of two or more numbers have common factors) = 24

GCF(570,632,576) x common factors =2 x 24 = 48

LCM(570,632,576) = ( 570 × 632 × 576 ) / 48

LCM(570,632,576) = 207498240 / 48

LCM(570,632,576) = 4322880


Lets's calculate GCF of 21,31,352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4322880/1

Therefore the LCM of Fractions 570/21,632/31,576/352 is 4322880

Greatest Common Factor of 21,31,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,31,352 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 21,31,352 . The biggest common factor number is the GCF number.
So the greatest common factor 21,31,352 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 570/21, 632/31, 576/352

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 570/21, 632/31, 576/352?

Answer: LCM of Numerators as per given numbers 570/21, 632/31, 576/352 is

LCM of Numerators i.e. for 570,632,576 is 4322880

GCF of denominators i.e. for 21,31,352 is 1.

Thus, LCM of Fractions is 4322880.Finally, LCM of Fractions for 570/21, 632/31, 576/352 is 4322880.