Find the LCM of 602, 267, 489, 989, 577 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 602, 267, 489, 989, 577. So, keep reading to learn more.
Given numbers are 602,267,489,989,577
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,267,489,989,577 is 347695448982.
Find LCM of 602,267,489,989,577 with Prime Factorization
3 | 602, 267, 489, 989, 577 |
43 | 602, 89, 163, 989, 577 |
14, 89, 163, 23, 577 |
Multiply the prime numbers at the bottom and the left side.
3 x 43 x 14 x 89 x 163 x 23 x 577 = 347695448982
Therefore, the lowest common multiple of 602,267,489,989,577 is 347695448982.
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.
602 x 267 x 489 x 989 x 577 = 44852712918678
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
267 : 1, 3, 89, 267
489 : 1, 3, 163, 489
989 : 1, 23, 43, 989
577 : 1, 577
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,267,489,989,577, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
267:3x 89
489:3x 163
989:23x 43
577:577
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 43 = 129
Therefore, the value for common factors is 129.
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 = 44852712918678/(1x129)
LCM = 44852712918678/129
LCM = 347695448982
Thus, we can understand that the LCM of 602,267,489,989,577 is 347695448982.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 602, 267, 489, 989, 577?
Answer: LCM of 602, 267, 489, 989, 577 is 347695448982.
2. How to calculate the LCM of 602, 267, 489, 989, 577?
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 602, 267, 489, 989, 577.
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}.