Find the LCM of 764, 748, 671, 913, 530 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 764, 748, 671, 913, 530. So, keep reading to learn more.
Given numbers are 764,748,671,913,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,748,671,913,530 is 191685281260.
Find LCM of 764,748,671,913,530 with Prime Factorization
2 | 764, 748, 671, 913, 530 |
2 | 382, 374, 671, 913, 265 |
11 | 191, 187, 671, 913, 265 |
191, 17, 61, 83, 265 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 191 x 17 x 61 x 83 x 265 = 191685281260
Therefore, the lowest common multiple of 764,748,671,913,530 is 191685281260.
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.
764 x 748 x 671 x 913 x 530 = 185551352259680
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.
764 : 1, 2, 4, 191, 382, 764
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
671 : 1, 11, 61, 671
913 : 1, 11, 83, 913
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,748,671,913,530, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
748:2x 2x 11x 17
671:11x 61
913:11x 83
530:2x 5x 53
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 11x 11 = 968
Therefore, the value for common factors is 968.
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 = 185551352259680/(1x968)
LCM = 185551352259680/968
LCM = 191685281260
Thus, we can understand that the LCM of 764,748,671,913,530 is 191685281260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 764, 748, 671, 913, 530?
Answer: LCM of 764, 748, 671, 913, 530 is 191685281260.
2. How to calculate the LCM of 764, 748, 671, 913, 530?
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 764, 748, 671, 913, 530.
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}.