LCM of 951, 408, 875, 510, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 951, 408, 875, 510, 915 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 951, 408, 875, 510, 915. So, keep reading to learn more.
Given numbers are 951,408,875,510,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 951,408,875,510,915 is 6903309000.
Find LCM of 951,408,875,510,915 with Prime Factorization
| 2 | 951, 408, 875, 510, 915 |
| 3 | 951, 204, 875, 255, 915 |
| 5 | 317, 68, 875, 85, 305 |
| 17 | 317, 68, 175, 17, 61 |
| 317, 4, 175, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 317 x 4 x 175 x 1 x 61 = 6903309000
Therefore, the lowest common multiple of 951,408,875,510,915 is 6903309000.
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.
951 x 408 x 875 x 510 x 915 = 158430941550000
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.
951 : 1, 3, 317, 951
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
875 : 1, 5, 7, 25, 35, 125, 175, 875
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 951,408,875,510,915, is 1.
Now, the common factors can be found like this.
951:3x 317
408:2x 2x 2x 3x 17
875:5x 5x 5x 7
510:2x 3x 5x 17
915:3x 5x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 5x 17 = 22950
Therefore, the value for common factors is 22950.
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 = 158430941550000/(1x22950)
LCM = 158430941550000/22950
LCM = 6903309000
Thus, we can understand that the LCM of 951,408,875,510,915 is 6903309000.
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FAQs on LCM of 951, 408, 875, 510, 915
1. What is the LCM of 951, 408, 875, 510, 915?
Answer: LCM of 951, 408, 875, 510, 915 is 6903309000.
2. How to calculate the LCM of 951, 408, 875, 510, 915?
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 951, 408, 875, 510, 915.
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}.