Find the LCM of 642, 955, 239, 518, 518 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 642, 955, 239, 518, 518. So, keep reading to learn more.
Given numbers are 642,955,239,518,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 642,955,239,518,518 is 37952122110.
Find LCM of 642,955,239,518,518 with Prime Factorization
2 | 642, 955, 239, 518, 518 |
7 | 321, 955, 239, 259, 259 |
37 | 321, 955, 239, 37, 37 |
321, 955, 239, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 321 x 955 x 239 x 1 x 1 = 37952122110
Therefore, the lowest common multiple of 642,955,239,518,518 is 37952122110.
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.
642 x 955 x 239 x 518 x 518 = 39318398505960
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.
642 : 1, 2, 3, 6, 107, 214, 321, 642
955 : 1, 5, 191, 955
239 : 1, 239
518 : 1, 2, 7, 14, 37, 74, 259, 518
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,955,239,518,518, is 1.
Now, the common factors can be found like this.
642:2x 3x 107
955:5x 191
239:239
518:2x 7x 37
518:2x 7x 37
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 7x 37 = 1036
Therefore, the value for common factors is 1036.
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 = 39318398505960/(1x1036)
LCM = 39318398505960/1036
LCM = 37952122110
Thus, we can understand that the LCM of 642,955,239,518,518 is 37952122110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 955, 239, 518, 518?
Answer: LCM of 642, 955, 239, 518, 518 is 37952122110.
2. How to calculate the LCM of 642, 955, 239, 518, 518?
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 642, 955, 239, 518, 518.
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}.