Find the LCM of 633, 589, 963, 435, 618 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 633, 589, 963, 435, 618. So, keep reading to learn more.
Given numbers are 633,589,963,435,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,589,963,435,618 is 3574861821990.
Find LCM of 633,589,963,435,618 with Prime Factorization
3 | 633, 589, 963, 435, 618 |
211, 589, 321, 145, 206 |
Multiply the prime numbers at the bottom and the left side.
3 x 211 x 589 x 321 x 145 x 206 = 3574861821990
Therefore, the lowest common multiple of 633,589,963,435,618 is 3574861821990.
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.
633 x 589 x 963 x 435 x 618 = 96521269193730
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.
633 : 1, 3, 211, 633
589 : 1, 19, 31, 589
963 : 1, 3, 9, 107, 321, 963
435 : 1, 3, 5, 15, 29, 87, 145, 435
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,589,963,435,618, is 1.
Now, the common factors can be found like this.
633:3x 211
589:19x 31
963:3x 3x 107
435:3x 5x 29
618:2x 3x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3 = 27
Therefore, the value for common factors is 27.
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 = 96521269193730/(1x27)
LCM = 96521269193730/27
LCM = 3574861821990
Thus, we can understand that the LCM of 633,589,963,435,618 is 3574861821990.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 633, 589, 963, 435, 618?
Answer: LCM of 633, 589, 963, 435, 618 is 3574861821990.
2. How to calculate the LCM of 633, 589, 963, 435, 618?
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 633, 589, 963, 435, 618.
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}.