Find the LCM of 964, 406, 616, 520 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 964, 406, 616, 520. So, keep reading to learn more.
Given numbers are 964,406,616,520
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,406,616,520 is 279839560.
Find LCM of 964,406,616,520 with Prime Factorization
2 | 964, 406, 616, 520 |
2 | 482, 203, 308, 260 |
2 | 241, 203, 154, 130 |
7 | 241, 203, 77, 65 |
241, 29, 11, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 241 x 29 x 11 x 65 = 279839560
Therefore, the lowest common multiple of 964,406,616,520 is 279839560.
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.
964 x 406 x 616 x 520 = 125368122880
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.
964 : 1, 2, 4, 241, 482, 964
406 : 1, 2, 7, 14, 29, 58, 203, 406
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,406,616,520, is 2.
Now, the common factors can be found like this.
964:2x 2x 241
406:2x 7x 29
616:2x 2x 2x 7x 11
520:2x 2x 2x 5x 13
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 7 = 224
Therefore, the value for common factors is 224.
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 = 125368122880/(2x224)
LCM = 125368122880/448
LCM = 279839560
Thus, we can understand that the LCM of 964,406,616,520 is 279839560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 406, 616, 520?
Answer: LCM of 964, 406, 616, 520 is 279839560.
2. How to calculate the LCM of 964, 406, 616, 520?
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 964, 406, 616, 520.
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}.