Find the LCM of 417, 972, 968, 385, 116 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 417, 972, 968, 385, 116. So, keep reading to learn more.
Given numbers are 417,972,968,385,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,972,968,385,116 is 33186578040.
Find LCM of 417,972,968,385,116 with Prime Factorization
2 | 417, 972, 968, 385, 116 |
2 | 417, 486, 484, 385, 58 |
3 | 417, 243, 242, 385, 29 |
11 | 139, 81, 242, 385, 29 |
139, 81, 22, 35, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 139 x 81 x 22 x 35 x 29 = 33186578040
Therefore, the lowest common multiple of 417,972,968,385,116 is 33186578040.
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.
417 x 972 x 968 x 385 x 116 = 17522513205120
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.
417 : 1, 3, 139, 417
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
385 : 1, 5, 7, 11, 35, 55, 77, 385
116 : 1, 2, 4, 29, 58, 116
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,972,968,385,116, is 1.
Now, the common factors can be found like this.
417:3x 139
972:2x 2x 3x 3x 3x 3x 3
968:2x 2x 2x 11x 11
385:5x 7x 11
116:2x 2x 29
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 11 = 528
Therefore, the value for common factors is 528.
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 = 17522513205120/(1x528)
LCM = 17522513205120/528
LCM = 33186578040
Thus, we can understand that the LCM of 417,972,968,385,116 is 33186578040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 417, 972, 968, 385, 116?
Answer: LCM of 417, 972, 968, 385, 116 is 33186578040.
2. How to calculate the LCM of 417, 972, 968, 385, 116?
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 417, 972, 968, 385, 116.
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}.