Find the LCM of 395, 590, 419, 708, 964 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 395, 590, 419, 708, 964. So, keep reading to learn more.
Given numbers are 395,590,419,708,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,590,419,708,964 is 28239787140.
Find LCM of 395,590,419,708,964 with Prime Factorization
2 | 395, 590, 419, 708, 964 |
2 | 395, 295, 419, 354, 482 |
5 | 395, 295, 419, 177, 241 |
59 | 79, 59, 419, 177, 241 |
79, 1, 419, 3, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 59 x 79 x 1 x 419 x 3 x 241 = 28239787140
Therefore, the lowest common multiple of 395,590,419,708,964 is 28239787140.
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.
395 x 590 x 419 x 708 x 964 = 66645897650400
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.
395 : 1, 5, 79, 395
590 : 1, 2, 5, 10, 59, 118, 295, 590
419 : 1, 419
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,590,419,708,964, is 1.
Now, the common factors can be found like this.
395:5x 79
590:2x 5x 59
419:419
708:2x 2x 3x 59
964:2x 2x 241
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 5x 59 = 2360
Therefore, the value for common factors is 2360.
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 = 66645897650400/(1x2360)
LCM = 66645897650400/2360
LCM = 28239787140
Thus, we can understand that the LCM of 395,590,419,708,964 is 28239787140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 395, 590, 419, 708, 964?
Answer: LCM of 395, 590, 419, 708, 964 is 28239787140.
2. How to calculate the LCM of 395, 590, 419, 708, 964?
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 395, 590, 419, 708, 964.
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}.