Find the LCM of 528, 704, 869, 507, 735 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 528, 704, 869, 507, 735. So, keep reading to learn more.
Given numbers are 528,704,869,507,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,704,869,507,735 is 6908341440.
Find LCM of 528,704,869,507,735 with Prime Factorization
2 | 528, 704, 869, 507, 735 |
2 | 264, 352, 869, 507, 735 |
2 | 132, 176, 869, 507, 735 |
2 | 66, 88, 869, 507, 735 |
3 | 33, 44, 869, 507, 735 |
11 | 11, 44, 869, 169, 245 |
1, 4, 79, 169, 245 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 1 x 4 x 79 x 169 x 245 = 6908341440
Therefore, the lowest common multiple of 528,704,869,507,735 is 6908341440.
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.
528 x 704 x 869 x 507 x 735 = 120370941250560
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
869 : 1, 11, 79, 869
507 : 1, 3, 13, 39, 169, 507
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,704,869,507,735, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
704:2x 2x 2x 2x 2x 2x 11
869:11x 79
507:3x 13x 13
735:3x 5x 7x 7
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 3x 11x 11 = 17424
Therefore, the value for common factors is 17424.
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 = 120370941250560/(1x17424)
LCM = 120370941250560/17424
LCM = 6908341440
Thus, we can understand that the LCM of 528,704,869,507,735 is 6908341440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 528, 704, 869, 507, 735?
Answer: LCM of 528, 704, 869, 507, 735 is 6908341440.
2. How to calculate the LCM of 528, 704, 869, 507, 735?
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 528, 704, 869, 507, 735.
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}.