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LCM of 780, 715, 117, 351

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


Find the LCM of 780, 715, 117, 351 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 780, 715, 117, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 780,715,117,351

Given numbers are 780,715,117,351

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

The LCM of 780,715,117,351 is 77220.

Find LCM of 780,715,117,351 with Prime Factorization


3 780, 715, 117, 351
3 260, 715, 39, 117
5 260, 715, 13, 39
13 52, 143, 13, 39
4, 11, 1, 3

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

3 x 3 x 5 x 13 x 4 x 11 x 1 x 3 = 77220

Therefore, the lowest common multiple of 780,715,117,351 is 77220.

LCM Formula to Find Lowest Common Multiple of 780,715,117,351

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.

780 x 715 x 117 x 351 = 22903065900

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.

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

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

117 : 1, 3, 9, 13, 39, 117

351 : 1, 3, 9, 13, 27, 39, 117, 351

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,715,117,351, is 13.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

715:5x 11x 13

117:3x 3x 13

351:3x 3x 3x 13

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

3x 3x 3x 5x 13x 13 = 22815

Therefore, the value for common factors is 22815.

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 = 22903065900/(13x22815)

LCM = 22903065900/296595

LCM = 77220

Thus, we can understand that the LCM of 780,715,117,351 is 77220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 780, 715, 117, 351

1. What is the LCM of 780, 715, 117, 351?

Answer: LCM of 780, 715, 117, 351 is 77220.

2. How to calculate the LCM of 780, 715, 117, 351?

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 780, 715, 117, 351.

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}.