Find the LCM of 624, 417, 764, 418, 189 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 624, 417, 764, 418, 189. So, keep reading to learn more.
Given numbers are 624,417,764,418,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,417,764,418,189 is 218132106192.
Find LCM of 624,417,764,418,189 with Prime Factorization
2 | 624, 417, 764, 418, 189 |
2 | 312, 417, 382, 209, 189 |
3 | 156, 417, 191, 209, 189 |
52, 139, 191, 209, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 52 x 139 x 191 x 209 x 63 = 218132106192
Therefore, the lowest common multiple of 624,417,764,418,189 is 218132106192.
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.
624 x 417 x 764 x 418 x 189 = 15705511645824
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
417 : 1, 3, 139, 417
764 : 1, 2, 4, 191, 382, 764
418 : 1, 2, 11, 19, 22, 38, 209, 418
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,417,764,418,189, is 1.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
417:3x 139
764:2x 2x 191
418:2x 11x 19
189:3x 3x 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 3 = 72
Therefore, the value for common factors is 72.
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 = 15705511645824/(1x72)
LCM = 15705511645824/72
LCM = 218132106192
Thus, we can understand that the LCM of 624,417,764,418,189 is 218132106192.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 624, 417, 764, 418, 189?
Answer: LCM of 624, 417, 764, 418, 189 is 218132106192.
2. How to calculate the LCM of 624, 417, 764, 418, 189?
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 624, 417, 764, 418, 189.
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}.