LCM of 780, 104, 712, 801, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 104, 712, 801, 906 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, 104, 712, 801, 906. So, keep reading to learn more.
Given numbers are 780,104,712,801,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,104,712,801,906 is 62894520.
Find LCM of 780,104,712,801,906 with Prime Factorization
| 2 | 780, 104, 712, 801, 906 |
| 2 | 390, 52, 356, 801, 453 |
| 2 | 195, 26, 178, 801, 453 |
| 3 | 195, 13, 89, 801, 453 |
| 13 | 65, 13, 89, 267, 151 |
| 89 | 5, 1, 89, 267, 151 |
| 5, 1, 1, 3, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 89 x 5 x 1 x 1 x 3 x 151 = 62894520
Therefore, the lowest common multiple of 780,104,712,801,906 is 62894520.
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 104 x 712 x 801 x 906 = 41914920752640
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
104 : 1, 2, 4, 8, 13, 26, 52, 104
712 : 1, 2, 4, 8, 89, 178, 356, 712
801 : 1, 3, 9, 89, 267, 801
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,104,712,801,906, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
104:2x 2x 2x 13
712:2x 2x 2x 89
801:3x 3x 89
906:2x 3x 151
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 2x 3x 3x 13x 89 = 666432
Therefore, the value for common factors is 666432.
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 = 41914920752640/(1x666432)
LCM = 41914920752640/666432
LCM = 62894520
Thus, we can understand that the LCM of 780,104,712,801,906 is 62894520.
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FAQs on LCM of 780, 104, 712, 801, 906
1. What is the LCM of 780, 104, 712, 801, 906?
Answer: LCM of 780, 104, 712, 801, 906 is 62894520.
2. How to calculate the LCM of 780, 104, 712, 801, 906?
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, 104, 712, 801, 906.
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}.