Find the LCM of 987, 470, 315, 767, 213 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 987, 470, 315, 767, 213. So, keep reading to learn more.
Given numbers are 987,470,315,767,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,470,315,767,213 is 1612471770.
Find LCM of 987,470,315,767,213 with Prime Factorization
3 | 987, 470, 315, 767, 213 |
5 | 329, 470, 105, 767, 71 |
7 | 329, 94, 21, 767, 71 |
47 | 47, 94, 3, 767, 71 |
1, 2, 3, 767, 71 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 47 x 1 x 2 x 3 x 767 x 71 = 1612471770
Therefore, the lowest common multiple of 987,470,315,767,213 is 1612471770.
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.
987 x 470 x 315 x 767 x 213 = 23872644554850
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
470 : 1, 2, 5, 10, 47, 94, 235, 470
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
767 : 1, 13, 59, 767
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,470,315,767,213, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
470:2x 5x 47
315:3x 3x 5x 7
767:13x 59
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 7x 47 = 14805
Therefore, the value for common factors is 14805.
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 = 23872644554850/(1x14805)
LCM = 23872644554850/14805
LCM = 1612471770
Thus, we can understand that the LCM of 987,470,315,767,213 is 1612471770.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 987, 470, 315, 767, 213?
Answer: LCM of 987, 470, 315, 767, 213 is 1612471770.
2. How to calculate the LCM of 987, 470, 315, 767, 213?
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 987, 470, 315, 767, 213.
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}.