Find the LCM of 705, 517, 587, 635, 968 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 705, 517, 587, 635, 968. So, keep reading to learn more.
Given numbers are 705,517,587,635,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,517,587,635,968 is 50875219560.
Find LCM of 705,517,587,635,968 with Prime Factorization
5 | 705, 517, 587, 635, 968 |
11 | 141, 517, 587, 127, 968 |
47 | 141, 47, 587, 127, 88 |
3, 1, 587, 127, 88 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 47 x 3 x 1 x 587 x 127 x 88 = 50875219560
Therefore, the lowest common multiple of 705,517,587,635,968 is 50875219560.
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.
705 x 517 x 587 x 635 x 968 = 131512442562600
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
517 : 1, 11, 47, 517
587 : 1, 587
635 : 1, 5, 127, 635
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,517,587,635,968, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
517:11x 47
587:587
635:5x 127
968:2x 2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 47 = 2585
Therefore, the value for common factors is 2585.
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 = 131512442562600/(1x2585)
LCM = 131512442562600/2585
LCM = 50875219560
Thus, we can understand that the LCM of 705,517,587,635,968 is 50875219560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 517, 587, 635, 968?
Answer: LCM of 705, 517, 587, 635, 968 is 50875219560.
2. How to calculate the LCM of 705, 517, 587, 635, 968?
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 705, 517, 587, 635, 968.
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}.