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LCM of 470, 412, 683, 681, 986

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


Find the LCM of 470, 412, 683, 681, 986 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 470, 412, 683, 681, 986. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 470,412,683,681,986

Given numbers are 470,412,683,681,986

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

The LCM of 470,412,683,681,986 is 22201371967980.

Find LCM of 470,412,683,681,986 with Prime Factorization


2 470, 412, 683, 681, 986
235, 206, 683, 681, 493

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

2 x 235 x 206 x 683 x 681 x 493 = 22201371967980

Therefore, the lowest common multiple of 470,412,683,681,986 is 22201371967980.

LCM Formula to Find Lowest Common Multiple of 470,412,683,681,986

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.

470 x 412 x 683 x 681 x 986 = 88805487871920

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.

470 : 1, 2, 5, 10, 47, 94, 235, 470

412 : 1, 2, 4, 103, 206, 412

683 : 1, 683

681 : 1, 3, 227, 681

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,412,683,681,986, is 1.

Now, the common factors can be found like this.

470:2x 5x 47

412:2x 2x 103

683:683

681:3x 227

986:2x 17x 29

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 88805487871920/(1x4)

LCM = 88805487871920/4

LCM = 22201371967980

Thus, we can understand that the LCM of 470,412,683,681,986 is 22201371967980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 470, 412, 683, 681, 986

1. What is the LCM of 470, 412, 683, 681, 986?

Answer: LCM of 470, 412, 683, 681, 986 is 22201371967980.

2. How to calculate the LCM of 470, 412, 683, 681, 986?

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 470, 412, 683, 681, 986.

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}.