LCM of 771, 784, 699, 544, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 771, 784, 699, 544, 427 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 771, 784, 699, 544, 427. So, keep reading to learn more.
Given numbers are 771,784,699,544,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 771,784,699,544,427 is 292102392288.
Find LCM of 771,784,699,544,427 with Prime Factorization
| 2 | 771, 784, 699, 544, 427 |
| 2 | 771, 392, 699, 272, 427 |
| 2 | 771, 196, 699, 136, 427 |
| 2 | 771, 98, 699, 68, 427 |
| 3 | 771, 49, 699, 34, 427 |
| 7 | 257, 49, 233, 34, 427 |
| 257, 7, 233, 34, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 257 x 7 x 233 x 34 x 61 = 292102392288
Therefore, the lowest common multiple of 771,784,699,544,427 is 292102392288.
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.
771 x 784 x 699 x 544 x 427 = 98146403808768
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.
771 : 1, 3, 257, 771
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
699 : 1, 3, 233, 699
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,784,699,544,427, is 1.
Now, the common factors can be found like this.
771:3x 257
784:2x 2x 2x 2x 7x 7
699:3x 233
544:2x 2x 2x 2x 2x 17
427:7x 61
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 98146403808768/(1x336)
LCM = 98146403808768/336
LCM = 292102392288
Thus, we can understand that the LCM of 771,784,699,544,427 is 292102392288.
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FAQs on LCM of 771, 784, 699, 544, 427
1. What is the LCM of 771, 784, 699, 544, 427?
Answer: LCM of 771, 784, 699, 544, 427 is 292102392288.
2. How to calculate the LCM of 771, 784, 699, 544, 427?
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 771, 784, 699, 544, 427.
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}.