Find the LCM of 757, 645, 974, 507, 325 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 757, 645, 974, 507, 325. So, keep reading to learn more.
Given numbers are 757,645,974,507,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,645,974,507,325 is 401856742950.
Find LCM of 757,645,974,507,325 with Prime Factorization
3 | 757, 645, 974, 507, 325 |
5 | 757, 215, 974, 169, 325 |
13 | 757, 43, 974, 169, 65 |
757, 43, 974, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 757 x 43 x 974 x 13 x 5 = 401856742950
Therefore, the lowest common multiple of 757,645,974,507,325 is 401856742950.
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.
757 x 645 x 974 x 507 x 325 = 78362064875250
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.
757 : 1, 757
645 : 1, 3, 5, 15, 43, 129, 215, 645
974 : 1, 2, 487, 974
507 : 1, 3, 13, 39, 169, 507
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,645,974,507,325, is 1.
Now, the common factors can be found like this.
757:757
645:3x 5x 43
974:2x 487
507:3x 13x 13
325:5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 13 = 195
Therefore, the value for common factors is 195.
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 = 78362064875250/(1x195)
LCM = 78362064875250/195
LCM = 401856742950
Thus, we can understand that the LCM of 757,645,974,507,325 is 401856742950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 757, 645, 974, 507, 325?
Answer: LCM of 757, 645, 974, 507, 325 is 401856742950.
2. How to calculate the LCM of 757, 645, 974, 507, 325?
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 757, 645, 974, 507, 325.
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}.