Find the LCM of 776, 754, 455, 520, 621 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 776, 754, 455, 520, 621. So, keep reading to learn more.
Given numbers are 776,754,455,520,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,754,455,520,621 is 6358617720.
Find LCM of 776,754,455,520,621 with Prime Factorization
2 | 776, 754, 455, 520, 621 |
2 | 388, 377, 455, 260, 621 |
2 | 194, 377, 455, 130, 621 |
5 | 97, 377, 455, 65, 621 |
13 | 97, 377, 91, 13, 621 |
97, 29, 7, 1, 621 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 13 x 97 x 29 x 7 x 1 x 621 = 6358617720
Therefore, the lowest common multiple of 776,754,455,520,621 is 6358617720.
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.
776 x 754 x 455 x 520 x 621 = 85968511574400
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
754 : 1, 2, 13, 26, 29, 58, 377, 754
455 : 1, 5, 7, 13, 35, 65, 91, 455
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,754,455,520,621, is 1.
Now, the common factors can be found like this.
776:2x 2x 2x 97
754:2x 13x 29
455:5x 7x 13
520:2x 2x 2x 5x 13
621:3x 3x 3x 23
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 5x 13x 13 = 13520
Therefore, the value for common factors is 13520.
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 = 85968511574400/(1x13520)
LCM = 85968511574400/13520
LCM = 6358617720
Thus, we can understand that the LCM of 776,754,455,520,621 is 6358617720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 776, 754, 455, 520, 621?
Answer: LCM of 776, 754, 455, 520, 621 is 6358617720.
2. How to calculate the LCM of 776, 754, 455, 520, 621?
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 776, 754, 455, 520, 621.
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}.