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LCM of 780, 633, 109, 104, 856

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


Find the LCM of 780, 633, 109, 104, 856 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, 633, 109, 104, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 780,633,109,104,856

Given numbers are 780,633,109,104,856

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

The LCM of 780,633,109,104,856 is 3838993080.

Find LCM of 780,633,109,104,856 with Prime Factorization


2 780, 633, 109, 104, 856
2 390, 633, 109, 52, 428
2 195, 633, 109, 26, 214
3 195, 633, 109, 13, 107
13 65, 211, 109, 13, 107
5, 211, 109, 1, 107

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

2 x 2 x 2 x 3 x 13 x 5 x 211 x 109 x 1 x 107 = 3838993080

Therefore, the lowest common multiple of 780,633,109,104,856 is 3838993080.

LCM Formula to Find Lowest Common Multiple of 780,633,109,104,856

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 633 x 109 x 104 x 856 = 4791063363840

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

633 : 1, 3, 211, 633

109 : 1, 109

104 : 1, 2, 4, 8, 13, 26, 52, 104

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,633,109,104,856, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

633:3x 211

109:109

104:2x 2x 2x 13

856:2x 2x 2x 107

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 13 = 1248

Therefore, the value for common factors is 1248.

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 = 4791063363840/(1x1248)

LCM = 4791063363840/1248

LCM = 3838993080

Thus, we can understand that the LCM of 780,633,109,104,856 is 3838993080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 780, 633, 109, 104, 856

1. What is the LCM of 780, 633, 109, 104, 856?

Answer: LCM of 780, 633, 109, 104, 856 is 3838993080.

2. How to calculate the LCM of 780, 633, 109, 104, 856?

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, 633, 109, 104, 856.

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}.