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LCM of 392, 220, 165, 372, 570

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


Find the LCM of 392, 220, 165, 372, 570 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 392, 220, 165, 372, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 392,220,165,372,570

Given numbers are 392,220,165,372,570

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

The LCM of 392,220,165,372,570 is 38096520.

Find LCM of 392,220,165,372,570 with Prime Factorization


2 392, 220, 165, 372, 570
2 196, 110, 165, 186, 285
3 98, 55, 165, 93, 285
5 98, 55, 55, 31, 95
11 98, 11, 11, 31, 19
98, 1, 1, 31, 19

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

2 x 2 x 3 x 5 x 11 x 98 x 1 x 1 x 31 x 19 = 38096520

Therefore, the lowest common multiple of 392,220,165,372,570 is 38096520.

LCM Formula to Find Lowest Common Multiple of 392,220,165,372,570

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.

392 x 220 x 165 x 372 x 570 = 3017244384000

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

165 : 1, 3, 5, 11, 15, 33, 55, 165

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,220,165,372,570, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

220:2x 2x 5x 11

165:3x 5x 11

372:2x 2x 3x 31

570:2x 3x 5x 19

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

2x 2x 2x 2x 2x 3x 3x 5x 5x 11 = 79200

Therefore, the value for common factors is 79200.

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 = 3017244384000/(1x79200)

LCM = 3017244384000/79200

LCM = 38096520

Thus, we can understand that the LCM of 392,220,165,372,570 is 38096520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 392, 220, 165, 372, 570

1. What is the LCM of 392, 220, 165, 372, 570?

Answer: LCM of 392, 220, 165, 372, 570 is 38096520.

2. How to calculate the LCM of 392, 220, 165, 372, 570?

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 392, 220, 165, 372, 570.

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}.