LCM of 513, 968, 616, 232, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 513, 968, 616, 232, 506 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 513, 968, 616, 232, 506. So, keep reading to learn more.
Given numbers are 513,968,616,232,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 513,968,616,232,506 is 2318550696.
Find LCM of 513,968,616,232,506 with Prime Factorization
| 2 | 513, 968, 616, 232, 506 |
| 2 | 513, 484, 308, 116, 253 |
| 2 | 513, 242, 154, 58, 253 |
| 11 | 513, 121, 77, 29, 253 |
| 513, 11, 7, 29, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 513 x 11 x 7 x 29 x 23 = 2318550696
Therefore, the lowest common multiple of 513,968,616,232,506 is 2318550696.
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.
513 x 968 x 616 x 232 x 506 = 35909713179648
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.
513 : 1, 3, 9, 19, 27, 57, 171, 513
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
232 : 1, 2, 4, 8, 29, 58, 116, 232
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,968,616,232,506, is 1.
Now, the common factors can be found like this.
513:3x 3x 3x 19
968:2x 2x 2x 11x 11
616:2x 2x 2x 7x 11
232:2x 2x 2x 29
506:2x 11x 23
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 2x 11x 11 = 15488
Therefore, the value for common factors is 15488.
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 = 35909713179648/(1x15488)
LCM = 35909713179648/15488
LCM = 2318550696
Thus, we can understand that the LCM of 513,968,616,232,506 is 2318550696.
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FAQs on LCM of 513, 968, 616, 232, 506
1. What is the LCM of 513, 968, 616, 232, 506?
Answer: LCM of 513, 968, 616, 232, 506 is 2318550696.
2. How to calculate the LCM of 513, 968, 616, 232, 506?
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 513, 968, 616, 232, 506.
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}.