Find the LCM of 575, 993, 365, 578, 640 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 575, 993, 365, 578, 640. So, keep reading to learn more.
Given numbers are 575,993,365,578,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 575,993,365,578,640 is 1541870025600.
Find LCM of 575,993,365,578,640 with Prime Factorization
2 | 575, 993, 365, 578, 640 |
5 | 575, 993, 365, 289, 320 |
115, 993, 73, 289, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 115 x 993 x 73 x 289 x 64 = 1541870025600
Therefore, the lowest common multiple of 575,993,365,578,640 is 1541870025600.
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.
575 x 993 x 365 x 578 x 640 = 77093501280000
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.
575 : 1, 5, 23, 25, 115, 575
993 : 1, 3, 331, 993
365 : 1, 5, 73, 365
578 : 1, 2, 17, 34, 289, 578
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,993,365,578,640, is 1.
Now, the common factors can be found like this.
575:5x 5x 23
993:3x 331
365:5x 73
578:2x 17x 17
640:2x 2x 2x 2x 2x 2x 2x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 77093501280000/(1x50)
LCM = 77093501280000/50
LCM = 1541870025600
Thus, we can understand that the LCM of 575,993,365,578,640 is 1541870025600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 575, 993, 365, 578, 640?
Answer: LCM of 575, 993, 365, 578, 640 is 1541870025600.
2. How to calculate the LCM of 575, 993, 365, 578, 640?
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 575, 993, 365, 578, 640.
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}.