LCM of 987, 654, 448, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 654, 448, 768 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 987, 654, 448, 768. So, keep reading to learn more.
Given numbers are 987,654,448,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,654,448,768 is 27541248.
Find LCM of 987,654,448,768 with Prime Factorization
| 2 | 987, 654, 448, 768 |
| 2 | 987, 327, 224, 384 |
| 2 | 987, 327, 112, 192 |
| 2 | 987, 327, 56, 96 |
| 2 | 987, 327, 28, 48 |
| 2 | 987, 327, 14, 24 |
| 3 | 987, 327, 7, 12 |
| 7 | 329, 109, 7, 4 |
| 47, 109, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 47 x 109 x 1 x 4 = 27541248
Therefore, the lowest common multiple of 987,654,448,768 is 27541248.
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.
987 x 654 x 448 x 768 = 222092623872
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
654 : 1, 2, 3, 6, 109, 218, 327, 654
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,654,448,768, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
654:2x 3x 109
448:2x 2x 2x 2x 2x 2x 7
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 3x 3x 7 = 8064
Therefore, the value for common factors is 8064.
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 = 222092623872/(1x8064)
LCM = 222092623872/8064
LCM = 27541248
Thus, we can understand that the LCM of 987,654,448,768 is 27541248.
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FAQs on LCM of 987, 654, 448, 768
1. What is the LCM of 987, 654, 448, 768?
Answer: LCM of 987, 654, 448, 768 is 27541248.
2. How to calculate the LCM of 987, 654, 448, 768?
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 987, 654, 448, 768.
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}.