Find the LCM of 957, 842, 427, 323, 534 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, 842, 427, 323, 534. So, keep reading to learn more.
Given numbers are 957,842,427,323,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,842,427,323,534 is 9891096370386.
Find LCM of 957,842,427,323,534 with Prime Factorization
2 | 957, 842, 427, 323, 534 |
3 | 957, 421, 427, 323, 267 |
319, 421, 427, 323, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 319 x 421 x 427 x 323 x 89 = 9891096370386
Therefore, the lowest common multiple of 957,842,427,323,534 is 9891096370386.
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 842 x 427 x 323 x 534 = 59346578222316
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
842 : 1, 2, 421, 842
427 : 1, 7, 61, 427
323 : 1, 17, 19, 323
534 : 1, 2, 3, 6, 89, 178, 267, 534
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,842,427,323,534, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
842:2x 421
427:7x 61
323:17x 19
534:2x 3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 59346578222316/(1x6)
LCM = 59346578222316/6
LCM = 9891096370386
Thus, we can understand that the LCM of 957,842,427,323,534 is 9891096370386.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 842, 427, 323, 534?
Answer: LCM of 957, 842, 427, 323, 534 is 9891096370386.
2. How to calculate the LCM of 957, 842, 427, 323, 534?
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, 842, 427, 323, 534.
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}.