Find the LCM of 774, 491, 507, 725, 618 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, 491, 507, 725, 618. So, keep reading to learn more.
Given numbers are 774,491,507,725,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,491,507,725,618 is 4796057582550.
Find LCM of 774,491,507,725,618 with Prime Factorization
2 | 774, 491, 507, 725, 618 |
3 | 387, 491, 507, 725, 309 |
129, 491, 169, 725, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 129 x 491 x 169 x 725 x 103 = 4796057582550
Therefore, the lowest common multiple of 774,491,507,725,618 is 4796057582550.
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 491 x 507 x 725 x 618 = 86329036485900
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
491 : 1, 491
507 : 1, 3, 13, 39, 169, 507
725 : 1, 5, 25, 29, 145, 725
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,491,507,725,618, is 1.
Now, the common factors can be found like this.
774:2x 3x 3x 43
491:491
507:3x 13x 13
725:5x 5x 29
618:2x 3x 103
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 3 = 18
Therefore, the value for common factors is 18.
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 = 86329036485900/(1x18)
LCM = 86329036485900/18
LCM = 4796057582550
Thus, we can understand that the LCM of 774,491,507,725,618 is 4796057582550.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 774, 491, 507, 725, 618?
Answer: LCM of 774, 491, 507, 725, 618 is 4796057582550.
2. How to calculate the LCM of 774, 491, 507, 725, 618?
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, 491, 507, 725, 618.
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}.