Least Common Multiple of 70/580, 12/574, 832/162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/580, 12/574, 832/162 quickly i.e. 43680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/580, 12/574, 832/162 is 43680.

LCM(70/580, 12/574, 832/162) = 43680

LCM of 70/580, 12/574, 832/162

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 70/580,12/574,832/162

Given numbers are 70/580,12/574,832/162

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 70,12,832

Least Common Multiple of Numerators i.e. LCM of 70,12,832 is 87360.

GCF of Denominators means GCF of 580,574,162 as per the given fractions.

GCF of 580,574,162 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,12,832

LCM of Fractions 70/580,12/574,832/162 is 43680

2 70, 12, 832
2 35, 6, 416
35, 3, 208

∴ So the LCM of the given numbers is 2 x 2 x 35 x 3 x 208 = 87360

Least Common Multiple of 70,12,832 with GCF Formula

Least Common Multiple of 70,12,832 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 70,12,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,12,832) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(70,12,832) x common factors =2 x 4 = 8

LCM(70,12,832) = ( 70 × 12 × 832 ) / 8

LCM(70,12,832) = 698880 / 8

LCM(70,12,832) = 87360


Lets's calculate GCF of 580,574,162

2 580, 574, 162
290, 287, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87360/2

Therefore the LCM of Fractions 70/580,12/574,832/162 is 43680

Greatest Common Factor of 580,574,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,574,162 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 580,574,162 . The biggest common factor number is the GCF number.
So the greatest common factor 580,574,162 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 70/580, 12/574, 832/162

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 70/580, 12/574, 832/162?

Answer: LCM of Numerators as per given numbers 70/580, 12/574, 832/162 is

LCM of Numerators i.e. for 70,12,832 is 87360

GCF of denominators i.e. for 580,574,162 is 2.

Thus, LCM of Fractions is 43680.Finally, LCM of Fractions for 70/580, 12/574, 832/162 is 43680.