LCM of 259, 745, 500, 530, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 745, 500, 530, 954 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, 745, 500, 530, 954. So, keep reading to learn more.
Given numbers are 259,745,500,530,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,745,500,530,954 is 9203953500.
Find LCM of 259,745,500,530,954 with Prime Factorization
| 2 | 259, 745, 500, 530, 954 |
| 5 | 259, 745, 250, 265, 477 |
| 53 | 259, 149, 50, 53, 477 |
| 259, 149, 50, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 53 x 259 x 149 x 50 x 1 x 9 = 9203953500
Therefore, the lowest common multiple of 259,745,500,530,954 is 9203953500.
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 745 x 500 x 530 x 954 = 48780953550000
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
745 : 1, 5, 149, 745
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
530 : 1, 2, 5, 10, 53, 106, 265, 530
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,745,500,530,954, is 1.
Now, the common factors can be found like this.
259:7x 37
745:5x 149
500:2x 2x 5x 5x 5
530:2x 5x 53
954:2x 3x 3x 53
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 5x 5x 53 = 5300
Therefore, the value for common factors is 5300.
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 = 48780953550000/(1x5300)
LCM = 48780953550000/5300
LCM = 9203953500
Thus, we can understand that the LCM of 259,745,500,530,954 is 9203953500.
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FAQs on LCM of 259, 745, 500, 530, 954
1. What is the LCM of 259, 745, 500, 530, 954?
Answer: LCM of 259, 745, 500, 530, 954 is 9203953500.
2. How to calculate the LCM of 259, 745, 500, 530, 954?
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, 745, 500, 530, 954.
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}.