Find the LCM of 324, 767, 767, 551, 163 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 324, 767, 767, 551, 163. So, keep reading to learn more.
Given numbers are 324,767,767,551,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 324,767,767,551,163 is 22319249004.
Find LCM of 324,767,767,551,163 with Prime Factorization
13 | 324, 767, 767, 551, 163 |
59 | 324, 59, 59, 551, 163 |
324, 1, 1, 551, 163 |
Multiply the prime numbers at the bottom and the left side.
13 x 59 x 324 x 1 x 1 x 551 x 163 = 22319249004
Therefore, the lowest common multiple of 324,767,767,551,163 is 22319249004.
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.
324 x 767 x 767 x 551 x 163 = 17118863986068
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.
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
767 : 1, 13, 59, 767
767 : 1, 13, 59, 767
551 : 1, 19, 29, 551
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,767,767,551,163, is 1.
Now, the common factors can be found like this.
324:2x 2x 3x 3x 3x 3
767:13x 59
767:13x 59
551:19x 29
163:163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 59 = 767
Therefore, the value for common factors is 767.
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 = 17118863986068/(1x767)
LCM = 17118863986068/767
LCM = 22319249004
Thus, we can understand that the LCM of 324,767,767,551,163 is 22319249004.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 324, 767, 767, 551, 163?
Answer: LCM of 324, 767, 767, 551, 163 is 22319249004.
2. How to calculate the LCM of 324, 767, 767, 551, 163?
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 324, 767, 767, 551, 163.
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}.