LCM of 963, 285, 448, 386, 893
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 285, 448, 386, 893 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 963, 285, 448, 386, 893. So, keep reading to learn more.
Given numbers are 963,285,448,386,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,285,448,386,893 is 371777474880.
Find LCM of 963,285,448,386,893 with Prime Factorization
| 2 | 963, 285, 448, 386, 893 |
| 3 | 963, 285, 224, 193, 893 |
| 19 | 321, 95, 224, 193, 893 |
| 321, 5, 224, 193, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 321 x 5 x 224 x 193 x 47 = 371777474880
Therefore, the lowest common multiple of 963,285,448,386,893 is 371777474880.
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.
963 x 285 x 448 x 386 x 893 = 42382632136320
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.
963 : 1, 3, 9, 107, 321, 963
285 : 1, 3, 5, 15, 19, 57, 95, 285
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
386 : 1, 2, 193, 386
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,285,448,386,893, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
285:3x 5x 19
448:2x 2x 2x 2x 2x 2x 7
386:2x 193
893:19x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 42382632136320/(1x114)
LCM = 42382632136320/114
LCM = 371777474880
Thus, we can understand that the LCM of 963,285,448,386,893 is 371777474880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 963, 285, 448, 386, 893
1. What is the LCM of 963, 285, 448, 386, 893?
Answer: LCM of 963, 285, 448, 386, 893 is 371777474880.
2. How to calculate the LCM of 963, 285, 448, 386, 893?
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 963, 285, 448, 386, 893.
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}.