LCM of 212, 787, 797, 152, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 787, 797, 152, 912 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 212, 787, 797, 152, 912. So, keep reading to learn more.
Given numbers are 212,787,797,152,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,787,797,152,912 is 30318224304.
Find LCM of 212,787,797,152,912 with Prime Factorization
| 2 | 212, 787, 797, 152, 912 |
| 2 | 106, 787, 797, 76, 456 |
| 2 | 53, 787, 797, 38, 228 |
| 19 | 53, 787, 797, 19, 114 |
| 53, 787, 797, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 19 x 53 x 787 x 797 x 1 x 6 = 30318224304
Therefore, the lowest common multiple of 212,787,797,152,912 is 30318224304.
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.
212 x 787 x 797 x 152 x 912 = 18433480376832
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.
212 : 1, 2, 4, 53, 106, 212
787 : 1, 787
797 : 1, 797
152 : 1, 2, 4, 8, 19, 38, 76, 152
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,787,797,152,912, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
787:787
797:797
152:2x 2x 2x 19
912:2x 2x 2x 2x 3x 19
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 19 = 608
Therefore, the value for common factors is 608.
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 = 18433480376832/(1x608)
LCM = 18433480376832/608
LCM = 30318224304
Thus, we can understand that the LCM of 212,787,797,152,912 is 30318224304.
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FAQs on LCM of 212, 787, 797, 152, 912
1. What is the LCM of 212, 787, 797, 152, 912?
Answer: LCM of 212, 787, 797, 152, 912 is 30318224304.
2. How to calculate the LCM of 212, 787, 797, 152, 912?
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 212, 787, 797, 152, 912.
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}.