Find the LCM of 462, 290, 678, 998, 655 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 462, 290, 678, 998, 655. So, keep reading to learn more.
Given numbers are 462,290,678,998,655
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,290,678,998,655 is 494834832030.
Find LCM of 462,290,678,998,655 with Prime Factorization
2 | 462, 290, 678, 998, 655 |
3 | 231, 145, 339, 499, 655 |
5 | 77, 145, 113, 499, 655 |
77, 29, 113, 499, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 77 x 29 x 113 x 499 x 131 = 494834832030
Therefore, the lowest common multiple of 462,290,678,998,655 is 494834832030.
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.
462 x 290 x 678 x 998 x 655 = 59380179843600
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
290 : 1, 2, 5, 10, 29, 58, 145, 290
678 : 1, 2, 3, 6, 113, 226, 339, 678
998 : 1, 2, 499, 998
655 : 1, 5, 131, 655
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,290,678,998,655, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
290:2x 5x 29
678:2x 3x 113
998:2x 499
655:5x 131
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 3x 5 = 120
Therefore, the value for common factors is 120.
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 = 59380179843600/(1x120)
LCM = 59380179843600/120
LCM = 494834832030
Thus, we can understand that the LCM of 462,290,678,998,655 is 494834832030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 462, 290, 678, 998, 655?
Answer: LCM of 462, 290, 678, 998, 655 is 494834832030.
2. How to calculate the LCM of 462, 290, 678, 998, 655?
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 462, 290, 678, 998, 655.
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}.