LCM of 774, 780, 387, 299, 581
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 774, 780, 387, 299, 581 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 774, 780, 387, 299, 581. So, keep reading to learn more.
Given numbers are 774,780,387,299,581
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,780,387,299,581 is 1344585060.
Find LCM of 774,780,387,299,581 with Prime Factorization
| 2 | 774, 780, 387, 299, 581 |
| 3 | 387, 390, 387, 299, 581 |
| 3 | 129, 130, 129, 299, 581 |
| 13 | 43, 130, 43, 299, 581 |
| 43 | 43, 10, 43, 23, 581 |
| 1, 10, 1, 23, 581 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 43 x 1 x 10 x 1 x 23 x 581 = 1344585060
Therefore, the lowest common multiple of 774,780,387,299,581 is 1344585060.
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.
774 x 780 x 387 x 299 x 581 = 40587644621160
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
387 : 1, 3, 9, 43, 129, 387
299 : 1, 13, 23, 299
581 : 1, 7, 83, 581
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,780,387,299,581, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
780:2x 2x 3x 5x 13
387:3x 3x 43
299:13x 23
581:7x 83
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 3x 3x 13x 43 = 30186
Therefore, the value for common factors is 30186.
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 = 40587644621160/(1x30186)
LCM = 40587644621160/30186
LCM = 1344585060
Thus, we can understand that the LCM of 774,780,387,299,581 is 1344585060.
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FAQs on LCM of 774, 780, 387, 299, 581
1. What is the LCM of 774, 780, 387, 299, 581?
Answer: LCM of 774, 780, 387, 299, 581 is 1344585060.
2. How to calculate the LCM of 774, 780, 387, 299, 581?
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 774, 780, 387, 299, 581.
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}.