Find the LCM of 517, 912, 418, 276 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 517, 912, 418, 276. So, keep reading to learn more.
Given numbers are 517,912,418,276
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,912,418,276 is 10844592.
Find LCM of 517,912,418,276 with Prime Factorization
2 | 517, 912, 418, 276 |
2 | 517, 456, 209, 138 |
3 | 517, 228, 209, 69 |
11 | 517, 76, 209, 23 |
19 | 47, 76, 19, 23 |
47, 4, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 47 x 4 x 1 x 23 = 10844592
Therefore, the lowest common multiple of 517,912,418,276 is 10844592.
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.
517 x 912 x 418 x 276 = 54396473472
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.
517 : 1, 11, 47, 517
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
418 : 1, 2, 11, 19, 22, 38, 209, 418
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,912,418,276, is 1.
Now, the common factors can be found like this.
517:11x 47
912:2x 2x 2x 2x 3x 19
418:2x 11x 19
276:2x 2x 3x 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 3x 11x 19 = 5016
Therefore, the value for common factors is 5016.
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 = 54396473472/(1x5016)
LCM = 54396473472/5016
LCM = 10844592
Thus, we can understand that the LCM of 517,912,418,276 is 10844592.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 912, 418, 276?
Answer: LCM of 517, 912, 418, 276 is 10844592.
2. How to calculate the LCM of 517, 912, 418, 276?
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 517, 912, 418, 276.
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}.