Find the LCM of 537, 952, 671, 765, 455 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 537, 952, 671, 765, 455. So, keep reading to learn more.
Given numbers are 537,952,671,765,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,952,671,765,455 is 66891104280.
Find LCM of 537,952,671,765,455 with Prime Factorization
3 | 537, 952, 671, 765, 455 |
5 | 179, 952, 671, 255, 455 |
7 | 179, 952, 671, 51, 91 |
17 | 179, 136, 671, 51, 13 |
179, 8, 671, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 17 x 179 x 8 x 671 x 3 x 13 = 66891104280
Therefore, the lowest common multiple of 537,952,671,765,455 is 66891104280.
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.
537 x 952 x 671 x 765 x 455 = 119400621139800
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.
537 : 1, 3, 179, 537
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
671 : 1, 11, 61, 671
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,952,671,765,455, is 1.
Now, the common factors can be found like this.
537:3x 179
952:2x 2x 2x 7x 17
671:11x 61
765:3x 3x 5x 17
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 17 = 1785
Therefore, the value for common factors is 1785.
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 = 119400621139800/(1x1785)
LCM = 119400621139800/1785
LCM = 66891104280
Thus, we can understand that the LCM of 537,952,671,765,455 is 66891104280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 537, 952, 671, 765, 455?
Answer: LCM of 537, 952, 671, 765, 455 is 66891104280.
2. How to calculate the LCM of 537, 952, 671, 765, 455?
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 537, 952, 671, 765, 455.
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}.