Find the LCM of 133, 983, 315, 616, 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 133, 983, 315, 616, 168. So, keep reading to learn more.
Given numbers are 133,983,315,616,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,983,315,616,168 is 517726440.
Find LCM of 133,983,315,616,168 with Prime Factorization
2 | 133, 983, 315, 616, 168 |
2 | 133, 983, 315, 308, 84 |
2 | 133, 983, 315, 154, 42 |
3 | 133, 983, 315, 77, 21 |
7 | 133, 983, 105, 77, 7 |
19, 983, 15, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 19 x 983 x 15 x 11 x 1 = 517726440
Therefore, the lowest common multiple of 133,983,315,616,168 is 517726440.
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.
133 x 983 x 315 x 616 x 168 = 4261924054080
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.
133 : 1, 7, 19, 133
983 : 1, 983
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
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 133,983,315,616,168, is 1.
Now, the common factors can be found like this.
133:7x 19
983:983
315:3x 3x 5x 7
616:2x 2x 2x 7x 11
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.
2x 2x 2x 3x 7x 7x 7 = 8232
Therefore, the value for common factors is 8232.
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 = 4261924054080/(1x8232)
LCM = 4261924054080/8232
LCM = 517726440
Thus, we can understand that the LCM of 133,983,315,616,168 is 517726440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 983, 315, 616, 168?
Answer: LCM of 133, 983, 315, 616, 168 is 517726440.
2. How to calculate the LCM of 133, 983, 315, 616, 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 133, 983, 315, 616, 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}.