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LCM of 386, 851, 185, 180

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 386, 851, 185, 180 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 386, 851, 185, 180. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,851,185,180

Given numbers are 386,851,185,180

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 386,851,185,180 is 29563740.

Find LCM of 386,851,185,180 with Prime Factorization


2 386, 851, 185, 180
5 193, 851, 185, 90
37 193, 851, 37, 18
193, 23, 1, 18

Multiply the prime numbers at the bottom and the left side.

2 x 5 x 37 x 193 x 23 x 1 x 18 = 29563740

Therefore, the lowest common multiple of 386,851,185,180 is 29563740.

LCM Formula to Find Lowest Common Multiple of 386,851,185,180

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

386 x 851 x 185 x 180 = 10938583800

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

386 : 1, 2, 193, 386

851 : 1, 23, 37, 851

185 : 1, 5, 37, 185

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,851,185,180, is 1.

Now, the common factors can be found like this.

386:2x 193

851:23x 37

185:5x 37

180:2x 2x 3x 3x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 37 = 370

Therefore, the value for common factors is 370.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 10938583800/(1x370)

LCM = 10938583800/370

LCM = 29563740

Thus, we can understand that the LCM of 386,851,185,180 is 29563740.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 851, 185, 180

1. What is the LCM of 386, 851, 185, 180?

Answer: LCM of 386, 851, 185, 180 is 29563740.

2. How to calculate the LCM of 386, 851, 185, 180?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 386, 851, 185, 180.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.