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LCM of 570, 936, 135, 335

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


Find the LCM of 570, 936, 135, 335 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 570, 936, 135, 335. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,936,135,335

Given numbers are 570,936,135,335

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

The LCM of 570,936,135,335 is 17872920.

Find LCM of 570,936,135,335 with Prime Factorization


2 570, 936, 135, 335
3 285, 468, 135, 335
3 95, 156, 45, 335
5 95, 52, 15, 335
19, 52, 3, 67

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

2 x 3 x 3 x 5 x 19 x 52 x 3 x 67 = 17872920

Therefore, the lowest common multiple of 570,936,135,335 is 17872920.

LCM Formula to Find Lowest Common Multiple of 570,936,135,335

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.

570 x 936 x 135 x 335 = 24128442000

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.

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

135 : 1, 3, 5, 9, 15, 27, 45, 135

335 : 1, 5, 67, 335

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,936,135,335, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

936:2x 2x 2x 3x 3x 13

135:3x 3x 3x 5

335:5x 67

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

2x 3x 3x 3x 5x 5 = 1350

Therefore, the value for common factors is 1350.

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 = 24128442000/(1x1350)

LCM = 24128442000/1350

LCM = 17872920

Thus, we can understand that the LCM of 570,936,135,335 is 17872920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 936, 135, 335

1. What is the LCM of 570, 936, 135, 335?

Answer: LCM of 570, 936, 135, 335 is 17872920.

2. How to calculate the LCM of 570, 936, 135, 335?

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 570, 936, 135, 335.

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}.