Find the LCM of 986, 348, 587, 638, 984 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 986, 348, 587, 638, 984. So, keep reading to learn more.
Given numbers are 986,348,587,638,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,348,587,638,984 is 3132368184.
Find LCM of 986,348,587,638,984 with Prime Factorization
2 | 986, 348, 587, 638, 984 |
2 | 493, 174, 587, 319, 492 |
3 | 493, 87, 587, 319, 246 |
29 | 493, 29, 587, 319, 82 |
17, 1, 587, 11, 82 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 17 x 1 x 587 x 11 x 82 = 3132368184
Therefore, the lowest common multiple of 986,348,587,638,984 is 3132368184.
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.
986 x 348 x 587 x 638 x 984 = 126447438851712
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
587 : 1, 587
638 : 1, 2, 11, 22, 29, 58, 319, 638
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,348,587,638,984, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
348:2x 2x 3x 29
587:587
638:2x 11x 29
984:2x 2x 2x 3x 41
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 2x 3x 29x 29 = 40368
Therefore, the value for common factors is 40368.
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 = 126447438851712/(1x40368)
LCM = 126447438851712/40368
LCM = 3132368184
Thus, we can understand that the LCM of 986,348,587,638,984 is 3132368184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 348, 587, 638, 984?
Answer: LCM of 986, 348, 587, 638, 984 is 3132368184.
2. How to calculate the LCM of 986, 348, 587, 638, 984?
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 986, 348, 587, 638, 984.
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}.