Find the LCM of 533, 777, 583, 121, 357 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 533, 777, 583, 121, 357. So, keep reading to learn more.
Given numbers are 533,777,583,121,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 533,777,583,121,357 is 45150065961.
Find LCM of 533,777,583,121,357 with Prime Factorization
3 | 533, 777, 583, 121, 357 |
7 | 533, 259, 583, 121, 119 |
11 | 533, 37, 583, 121, 17 |
533, 37, 53, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 533 x 37 x 53 x 11 x 17 = 45150065961
Therefore, the lowest common multiple of 533,777,583,121,357 is 45150065961.
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.
533 x 777 x 583 x 121 x 357 = 10429665236991
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.
533 : 1, 13, 41, 533
777 : 1, 3, 7, 21, 37, 111, 259, 777
583 : 1, 11, 53, 583
121 : 1, 11, 121
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,777,583,121,357, is 1.
Now, the common factors can be found like this.
533:13x 41
777:3x 7x 37
583:11x 53
121:11x 11
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 10429665236991/(1x231)
LCM = 10429665236991/231
LCM = 45150065961
Thus, we can understand that the LCM of 533,777,583,121,357 is 45150065961.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 533, 777, 583, 121, 357?
Answer: LCM of 533, 777, 583, 121, 357 is 45150065961.
2. How to calculate the LCM of 533, 777, 583, 121, 357?
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 533, 777, 583, 121, 357.
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}.