LCM of 968, 632, 215, 468, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 968, 632, 215, 468, 513 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 968, 632, 215, 468, 513. So, keep reading to learn more.
Given numbers are 968,632,215,468,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 968,632,215,468,513 is 109648230120.
Find LCM of 968,632,215,468,513 with Prime Factorization
| 2 | 968, 632, 215, 468, 513 |
| 2 | 484, 316, 215, 234, 513 |
| 2 | 242, 158, 215, 117, 513 |
| 3 | 121, 79, 215, 117, 513 |
| 3 | 121, 79, 215, 39, 171 |
| 121, 79, 215, 13, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 121 x 79 x 215 x 13 x 57 = 109648230120
Therefore, the lowest common multiple of 968,632,215,468,513 is 109648230120.
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.
968 x 632 x 215 x 468 x 513 = 31578690274560
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.
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
632 : 1, 2, 4, 8, 79, 158, 316, 632
215 : 1, 5, 43, 215
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 968,632,215,468,513, is 1.
Now, the common factors can be found like this.
968:2x 2x 2x 11x 11
632:2x 2x 2x 79
215:5x 43
468:2x 2x 3x 3x 13
513:3x 3x 3x 19
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 31578690274560/(1x288)
LCM = 31578690274560/288
LCM = 109648230120
Thus, we can understand that the LCM of 968,632,215,468,513 is 109648230120.
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FAQs on LCM of 968, 632, 215, 468, 513
1. What is the LCM of 968, 632, 215, 468, 513?
Answer: LCM of 968, 632, 215, 468, 513 is 109648230120.
2. How to calculate the LCM of 968, 632, 215, 468, 513?
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 968, 632, 215, 468, 513.
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}.