Find the LCM of 327, 767, 767, 168 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 327, 767, 767, 168. So, keep reading to learn more.
Given numbers are 327,767,767,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,767,767,168 is 14045304.
Find LCM of 327,767,767,168 with Prime Factorization
3 | 327, 767, 767, 168 |
13 | 109, 767, 767, 56 |
59 | 109, 59, 59, 56 |
109, 1, 1, 56 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 59 x 109 x 1 x 1 x 56 = 14045304
Therefore, the lowest common multiple of 327,767,767,168 is 14045304.
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.
327 x 767 x 767 x 168 = 32318244504
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.
327 : 1, 3, 109, 327
767 : 1, 13, 59, 767
767 : 1, 13, 59, 767
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,767,767,168, is 1.
Now, the common factors can be found like this.
327:3x 109
767:13x 59
767:13x 59
168:2x 2x 2x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 59 = 2301
Therefore, the value for common factors is 2301.
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 = 32318244504/(1x2301)
LCM = 32318244504/2301
LCM = 14045304
Thus, we can understand that the LCM of 327,767,767,168 is 14045304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 327, 767, 767, 168?
Answer: LCM of 327, 767, 767, 168 is 14045304.
2. How to calculate the LCM of 327, 767, 767, 168?
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 327, 767, 767, 168.
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}.