LCM of 960, 509, 334, 506, 463
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 509, 334, 506, 463 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 960, 509, 334, 506, 463. So, keep reading to learn more.
Given numbers are 960,509,334,506,463
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,509,334,506,463 is 9558879760320.
Find LCM of 960,509,334,506,463 with Prime Factorization
| 2 | 960, 509, 334, 506, 463 |
| 480, 509, 167, 253, 463 |
Multiply the prime numbers at the bottom and the left side.
2 x 480 x 509 x 167 x 253 x 463 = 9558879760320
Therefore, the lowest common multiple of 960,509,334,506,463 is 9558879760320.
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.
960 x 509 x 334 x 506 x 463 = 38235519041280
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
509 : 1, 509
334 : 1, 2, 167, 334
506 : 1, 2, 11, 22, 23, 46, 253, 506
463 : 1, 463
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,509,334,506,463, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
509:509
334:2x 167
506:2x 11x 23
463:463
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 38235519041280/(1x4)
LCM = 38235519041280/4
LCM = 9558879760320
Thus, we can understand that the LCM of 960,509,334,506,463 is 9558879760320.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 960, 509, 334, 506, 463
1. What is the LCM of 960, 509, 334, 506, 463?
Answer: LCM of 960, 509, 334, 506, 463 is 9558879760320.
2. How to calculate the LCM of 960, 509, 334, 506, 463?
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 960, 509, 334, 506, 463.
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}.