LCM of 715, 782, 804, 448, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 782, 804, 448, 788 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 715, 782, 804, 448, 788. So, keep reading to learn more.
Given numbers are 715,782,804,448,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,782,804,448,788 is 4959331016640.
Find LCM of 715,782,804,448,788 with Prime Factorization
| 2 | 715, 782, 804, 448, 788 |
| 2 | 715, 391, 402, 224, 394 |
| 715, 391, 201, 112, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 715 x 391 x 201 x 112 x 197 = 4959331016640
Therefore, the lowest common multiple of 715,782,804,448,788 is 4959331016640.
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.
715 x 782 x 804 x 448 x 788 = 158698592532480
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
782 : 1, 2, 17, 23, 34, 46, 391, 782
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,782,804,448,788, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
782:2x 17x 23
804:2x 2x 3x 67
448:2x 2x 2x 2x 2x 2x 7
788:2x 2x 197
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 2 = 32
Therefore, the value for common factors is 32.
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 = 158698592532480/(1x32)
LCM = 158698592532480/32
LCM = 4959331016640
Thus, we can understand that the LCM of 715,782,804,448,788 is 4959331016640.
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FAQs on LCM of 715, 782, 804, 448, 788
1. What is the LCM of 715, 782, 804, 448, 788?
Answer: LCM of 715, 782, 804, 448, 788 is 4959331016640.
2. How to calculate the LCM of 715, 782, 804, 448, 788?
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 715, 782, 804, 448, 788.
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}.