LCM of 906, 442, 780, 669
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 442, 780, 669 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 906, 442, 780, 669. So, keep reading to learn more.
Given numbers are 906,442,780,669
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,442,780,669 is 446503980.
Find LCM of 906,442,780,669 with Prime Factorization
| 2 | 906, 442, 780, 669 |
| 3 | 453, 221, 390, 669 |
| 13 | 151, 221, 130, 223 |
| 151, 17, 10, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 151 x 17 x 10 x 223 = 446503980
Therefore, the lowest common multiple of 906,442,780,669 is 446503980.
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.
906 x 442 x 780 x 669 = 208963862640
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
442 : 1, 2, 13, 17, 26, 34, 221, 442
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
669 : 1, 3, 223, 669
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,442,780,669, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
442:2x 13x 17
780:2x 2x 3x 5x 13
669:3x 223
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 13 = 468
Therefore, the value for common factors is 468.
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 = 208963862640/(1x468)
LCM = 208963862640/468
LCM = 446503980
Thus, we can understand that the LCM of 906,442,780,669 is 446503980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 442, 780, 669
1. What is the LCM of 906, 442, 780, 669?
Answer: LCM of 906, 442, 780, 669 is 446503980.
2. How to calculate the LCM of 906, 442, 780, 669?
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 906, 442, 780, 669.
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}.