Find the LCM of 152, 561, 777, 616, 184 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 152, 561, 777, 616, 184. So, keep reading to learn more.
Given numbers are 152,561,777,616,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 152,561,777,616,184 is 507965304.
Find LCM of 152,561,777,616,184 with Prime Factorization
2 | 152, 561, 777, 616, 184 |
2 | 76, 561, 777, 308, 92 |
2 | 38, 561, 777, 154, 46 |
3 | 19, 561, 777, 77, 23 |
7 | 19, 187, 259, 77, 23 |
11 | 19, 187, 37, 11, 23 |
19, 17, 37, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 11 x 19 x 17 x 37 x 1 x 23 = 507965304
Therefore, the lowest common multiple of 152,561,777,616,184 is 507965304.
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.
152 x 561 x 777 x 616 x 184 = 7509759054336
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.
152 : 1, 2, 4, 8, 19, 38, 76, 152
561 : 1, 3, 11, 17, 33, 51, 187, 561
777 : 1, 3, 7, 21, 37, 111, 259, 777
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 152,561,777,616,184, is 1.
Now, the common factors can be found like this.
152:2x 2x 2x 19
561:3x 11x 17
777:3x 7x 37
616:2x 2x 2x 7x 11
184:2x 2x 2x 23
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 2x 2x 3x 7x 11 = 14784
Therefore, the value for common factors is 14784.
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 = 7509759054336/(1x14784)
LCM = 7509759054336/14784
LCM = 507965304
Thus, we can understand that the LCM of 152,561,777,616,184 is 507965304.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 152, 561, 777, 616, 184?
Answer: LCM of 152, 561, 777, 616, 184 is 507965304.
2. How to calculate the LCM of 152, 561, 777, 616, 184?
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 152, 561, 777, 616, 184.
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}.