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LCM of 336, 620, 135, 715, 780

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


Find the LCM of 336, 620, 135, 715, 780 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 336, 620, 135, 715, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 336,620,135,715,780

Given numbers are 336,620,135,715,780

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

The LCM of 336,620,135,715,780 is 67026960.

Find LCM of 336,620,135,715,780 with Prime Factorization


2 336, 620, 135, 715, 780
2 168, 310, 135, 715, 390
3 84, 155, 135, 715, 195
5 28, 155, 45, 715, 65
13 28, 31, 9, 143, 13
28, 31, 9, 11, 1

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

2 x 2 x 3 x 5 x 13 x 28 x 31 x 9 x 11 x 1 = 67026960

Therefore, the lowest common multiple of 336,620,135,715,780 is 67026960.

LCM Formula to Find Lowest Common Multiple of 336,620,135,715,780

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.

336 x 620 x 135 x 715 x 780 = 15684308640000

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,620,135,715,780, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

620:2x 2x 5x 31

135:3x 3x 3x 5

715:5x 11x 13

780:2x 2x 3x 5x 13

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 3x 3x 5x 5x 5x 13 = 234000

Therefore, the value for common factors is 234000.

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 = 15684308640000/(1x234000)

LCM = 15684308640000/234000

LCM = 67026960

Thus, we can understand that the LCM of 336,620,135,715,780 is 67026960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 336, 620, 135, 715, 780

1. What is the LCM of 336, 620, 135, 715, 780?

Answer: LCM of 336, 620, 135, 715, 780 is 67026960.

2. How to calculate the LCM of 336, 620, 135, 715, 780?

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 336, 620, 135, 715, 780.

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}.