LCM of 288, 317, 131, 506, 951
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 317, 131, 506, 951 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 288, 317, 131, 506, 951. So, keep reading to learn more.
Given numbers are 288,317,131,506,951
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,317,131,506,951 is 3025823328.
Find LCM of 288,317,131,506,951 with Prime Factorization
| 2 | 288, 317, 131, 506, 951 |
| 3 | 144, 317, 131, 253, 951 |
| 317 | 48, 317, 131, 253, 317 |
| 48, 1, 131, 253, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 317 x 48 x 1 x 131 x 253 x 1 = 3025823328
Therefore, the lowest common multiple of 288,317,131,506,951 is 3025823328.
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.
288 x 317 x 131 x 506 x 951 = 5755115969856
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
317 : 1, 317
131 : 1, 131
506 : 1, 2, 11, 22, 23, 46, 253, 506
951 : 1, 3, 317, 951
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,317,131,506,951, is 1.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
317:317
131:131
506:2x 11x 23
951:3x 317
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 317 = 1902
Therefore, the value for common factors is 1902.
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 = 5755115969856/(1x1902)
LCM = 5755115969856/1902
LCM = 3025823328
Thus, we can understand that the LCM of 288,317,131,506,951 is 3025823328.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 288, 317, 131, 506, 951
1. What is the LCM of 288, 317, 131, 506, 951?
Answer: LCM of 288, 317, 131, 506, 951 is 3025823328.
2. How to calculate the LCM of 288, 317, 131, 506, 951?
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 288, 317, 131, 506, 951.
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}.