Find the LCM of 608, 944, 535, 133, 765 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 608, 944, 535, 133, 765. So, keep reading to learn more.
Given numbers are 608,944,535,133,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,944,535,133,765 is 20554117920.
Find LCM of 608,944,535,133,765 with Prime Factorization
2 | 608, 944, 535, 133, 765 |
2 | 304, 472, 535, 133, 765 |
2 | 152, 236, 535, 133, 765 |
2 | 76, 118, 535, 133, 765 |
5 | 38, 59, 535, 133, 765 |
19 | 38, 59, 107, 133, 153 |
2, 59, 107, 7, 153 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 19 x 2 x 59 x 107 x 7 x 153 = 20554117920
Therefore, the lowest common multiple of 608,944,535,133,765 is 20554117920.
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.
608 x 944 x 535 x 133 x 765 = 31242259238400
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
535 : 1, 5, 107, 535
133 : 1, 7, 19, 133
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,944,535,133,765, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
944:2x 2x 2x 2x 59
535:5x 107
133:7x 19
765:3x 3x 5x 17
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 5x 19 = 1520
Therefore, the value for common factors is 1520.
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 = 31242259238400/(1x1520)
LCM = 31242259238400/1520
LCM = 20554117920
Thus, we can understand that the LCM of 608,944,535,133,765 is 20554117920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 608, 944, 535, 133, 765?
Answer: LCM of 608, 944, 535, 133, 765 is 20554117920.
2. How to calculate the LCM of 608, 944, 535, 133, 765?
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 608, 944, 535, 133, 765.
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}.