Find the LCM of 960, 392, 260, 754 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, 392, 260, 754. So, keep reading to learn more.
Given numbers are 960,392,260,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,392,260,754 is 17734080.
Find LCM of 960,392,260,754 with Prime Factorization
2 | 960, 392, 260, 754 |
2 | 480, 196, 130, 377 |
2 | 240, 98, 65, 377 |
5 | 120, 49, 65, 377 |
13 | 24, 49, 13, 377 |
24, 49, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 24 x 49 x 1 x 29 = 17734080
Therefore, the lowest common multiple of 960,392,260,754 is 17734080.
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 392 x 260 x 754 = 73773772800
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
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
754 : 1, 2, 13, 26, 29, 58, 377, 754
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,392,260,754, is 2.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
392:2x 2x 2x 7x 7
260:2x 2x 5x 13
754:2x 13x 29
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 5x 13 = 2080
Therefore, the value for common factors is 2080.
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 = 73773772800/(2x2080)
LCM = 73773772800/4160
LCM = 17734080
Thus, we can understand that the LCM of 960,392,260,754 is 17734080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 960, 392, 260, 754?
Answer: LCM of 960, 392, 260, 754 is 17734080.
2. How to calculate the LCM of 960, 392, 260, 754?
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, 392, 260, 754.
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}.