Find the LCM of 380, 493, 466, 663, 936 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 380, 493, 466, 663, 936. So, keep reading to learn more.
Given numbers are 380,493,466,663,936
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,493,466,663,936 is 10214151480.
Find LCM of 380,493,466,663,936 with Prime Factorization
2 | 380, 493, 466, 663, 936 |
2 | 190, 493, 233, 663, 468 |
3 | 95, 493, 233, 663, 234 |
13 | 95, 493, 233, 221, 78 |
17 | 95, 493, 233, 17, 6 |
95, 29, 233, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 95 x 29 x 233 x 1 x 6 = 10214151480
Therefore, the lowest common multiple of 380,493,466,663,936 is 10214151480.
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.
380 x 493 x 466 x 663 x 936 = 54175859449920
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
493 : 1, 17, 29, 493
466 : 1, 2, 233, 466
663 : 1, 3, 13, 17, 39, 51, 221, 663
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,493,466,663,936, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
493:17x 29
466:2x 233
663:3x 13x 17
936:2x 2x 2x 3x 3x 13
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 13x 17 = 5304
Therefore, the value for common factors is 5304.
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 = 54175859449920/(1x5304)
LCM = 54175859449920/5304
LCM = 10214151480
Thus, we can understand that the LCM of 380,493,466,663,936 is 10214151480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 380, 493, 466, 663, 936?
Answer: LCM of 380, 493, 466, 663, 936 is 10214151480.
2. How to calculate the LCM of 380, 493, 466, 663, 936?
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 380, 493, 466, 663, 936.
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}.