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LCM of 633, 642, 786, 780

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


Find the LCM of 633, 642, 786, 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 633, 642, 786, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 633,642,786,780

Given numbers are 633,642,786,780

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

The LCM of 633,642,786,780 is 2306917860.

Find LCM of 633,642,786,780 with Prime Factorization


2 633, 642, 786, 780
3 633, 321, 393, 390
211, 107, 131, 130

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

2 x 3 x 211 x 107 x 131 x 130 = 2306917860

Therefore, the lowest common multiple of 633,642,786,780 is 2306917860.

LCM Formula to Find Lowest Common Multiple of 633,642,786,780

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.

633 x 642 x 786 x 780 = 249147128880

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.

633 : 1, 3, 211, 633

642 : 1, 2, 3, 6, 107, 214, 321, 642

786 : 1, 2, 3, 6, 131, 262, 393, 786

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,642,786,780, is 3.

Now, the common factors can be found like this.

633:3x 211

642:2x 3x 107

786:2x 3x 131

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 3 = 36

Therefore, the value for common factors is 36.

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 = 249147128880/(3x36)

LCM = 249147128880/108

LCM = 2306917860

Thus, we can understand that the LCM of 633,642,786,780 is 2306917860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 633, 642, 786, 780

1. What is the LCM of 633, 642, 786, 780?

Answer: LCM of 633, 642, 786, 780 is 2306917860.

2. How to calculate the LCM of 633, 642, 786, 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 633, 642, 786, 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}.