Find the LCM of 957, 497, 869, 757, 315 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 957, 497, 869, 757, 315. So, keep reading to learn more.
Given numbers are 957,497,869,757,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,497,869,757,315 is 426660616305.
Find LCM of 957,497,869,757,315 with Prime Factorization
3 | 957, 497, 869, 757, 315 |
7 | 319, 497, 869, 757, 105 |
11 | 319, 71, 869, 757, 15 |
29, 71, 79, 757, 15 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 29 x 71 x 79 x 757 x 15 = 426660616305
Therefore, the lowest common multiple of 957,497,869,757,315 is 426660616305.
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.
957 x 497 x 869 x 757 x 315 = 98558602366455
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
497 : 1, 7, 71, 497
869 : 1, 11, 79, 869
757 : 1, 757
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,497,869,757,315, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
497:7x 71
869:11x 79
757:757
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 98558602366455/(1x231)
LCM = 98558602366455/231
LCM = 426660616305
Thus, we can understand that the LCM of 957,497,869,757,315 is 426660616305.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 497, 869, 757, 315?
Answer: LCM of 957, 497, 869, 757, 315 is 426660616305.
2. How to calculate the LCM of 957, 497, 869, 757, 315?
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 957, 497, 869, 757, 315.
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}.