LCM of 792, 143, 712, 767, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 792, 143, 712, 767, 897 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 792, 143, 712, 767, 897. So, keep reading to learn more.
Given numbers are 792,143,712,767,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 792,143,712,767,897 is 1243478808.
Find LCM of 792,143,712,767,897 with Prime Factorization
| 2 | 792, 143, 712, 767, 897 |
| 2 | 396, 143, 356, 767, 897 |
| 2 | 198, 143, 178, 767, 897 |
| 3 | 99, 143, 89, 767, 897 |
| 11 | 33, 143, 89, 767, 299 |
| 13 | 3, 13, 89, 767, 299 |
| 3, 1, 89, 59, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 3 x 1 x 89 x 59 x 23 = 1243478808
Therefore, the lowest common multiple of 792,143,712,767,897 is 1243478808.
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.
792 x 143 x 712 x 767 x 897 = 55479050497728
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.
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
143 : 1, 11, 13, 143
712 : 1, 2, 4, 8, 89, 178, 356, 712
767 : 1, 13, 59, 767
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,143,712,767,897, is 1.
Now, the common factors can be found like this.
792:2x 2x 2x 3x 3x 11
143:11x 13
712:2x 2x 2x 89
767:13x 59
897:3x 13x 23
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 3x 11x 13x 13 = 44616
Therefore, the value for common factors is 44616.
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 = 55479050497728/(1x44616)
LCM = 55479050497728/44616
LCM = 1243478808
Thus, we can understand that the LCM of 792,143,712,767,897 is 1243478808.
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FAQs on LCM of 792, 143, 712, 767, 897
1. What is the LCM of 792, 143, 712, 767, 897?
Answer: LCM of 792, 143, 712, 767, 897 is 1243478808.
2. How to calculate the LCM of 792, 143, 712, 767, 897?
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 792, 143, 712, 767, 897.
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}.