LCM of 259, 770, 160, 788, 520
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 770, 160, 788, 520 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 259, 770, 160, 788, 520. So, keep reading to learn more.
Given numbers are 259,770,160,788,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,770,160,788,520 is 1167406240.
Find LCM of 259,770,160,788,520 with Prime Factorization
| 2 | 259, 770, 160, 788, 520 |
| 2 | 259, 385, 80, 394, 260 |
| 2 | 259, 385, 40, 197, 130 |
| 5 | 259, 385, 20, 197, 65 |
| 7 | 259, 77, 4, 197, 13 |
| 37, 11, 4, 197, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 37 x 11 x 4 x 197 x 13 = 1167406240
Therefore, the lowest common multiple of 259,770,160,788,520 is 1167406240.
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.
259 x 770 x 160 x 788 x 520 = 13074949888000
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.
259 : 1, 7, 37, 259
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
788 : 1, 2, 4, 197, 394, 788
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,770,160,788,520, is 1.
Now, the common factors can be found like this.
259:7x 37
770:2x 5x 7x 11
160:2x 2x 2x 2x 2x 5
788:2x 2x 197
520:2x 2x 2x 5x 13
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 5x 5x 7 = 11200
Therefore, the value for common factors is 11200.
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 = 13074949888000/(1x11200)
LCM = 13074949888000/11200
LCM = 1167406240
Thus, we can understand that the LCM of 259,770,160,788,520 is 1167406240.
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FAQs on LCM of 259, 770, 160, 788, 520
1. What is the LCM of 259, 770, 160, 788, 520?
Answer: LCM of 259, 770, 160, 788, 520 is 1167406240.
2. How to calculate the LCM of 259, 770, 160, 788, 520?
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 259, 770, 160, 788, 520.
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}.