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LCM of 363, 689, 780, 780

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


Find the LCM of 363, 689, 780, 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 363, 689, 780, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,689,780,780

Given numbers are 363,689,780,780

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

The LCM of 363,689,780,780 is 5002140.

Find LCM of 363,689,780,780 with Prime Factorization


2 363, 689, 780, 780
2 363, 689, 390, 390
3 363, 689, 195, 195
5 121, 689, 65, 65
13 121, 689, 13, 13
121, 53, 1, 1

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

2 x 2 x 3 x 5 x 13 x 121 x 53 x 1 x 1 = 5002140

Therefore, the lowest common multiple of 363,689,780,780 is 5002140.

LCM Formula to Find Lowest Common Multiple of 363,689,780,780

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.

363 x 689 x 780 x 780 = 152165098800

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.

363 : 1, 3, 11, 33, 121, 363

689 : 1, 13, 53, 689

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

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 363,689,780,780, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

689:13x 53

780:2x 2x 3x 5x 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 3x 3x 5x 13x 13 = 30420

Therefore, the value for common factors is 30420.

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 = 152165098800/(1x30420)

LCM = 152165098800/30420

LCM = 5002140

Thus, we can understand that the LCM of 363,689,780,780 is 5002140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 689, 780, 780

1. What is the LCM of 363, 689, 780, 780?

Answer: LCM of 363, 689, 780, 780 is 5002140.

2. How to calculate the LCM of 363, 689, 780, 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 363, 689, 780, 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}.