Find the LCM of 794, 989, 414, 646, 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 794, 989, 414, 646, 534. So, keep reading to learn more.
Given numbers are 794,989,414,646,534
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,989,414,646,534 is 203166375318.
Find LCM of 794,989,414,646,534 with Prime Factorization
2 | 794, 989, 414, 646, 534 |
3 | 397, 989, 207, 323, 267 |
23 | 397, 989, 69, 323, 89 |
397, 43, 3, 323, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 397 x 43 x 3 x 323 x 89 = 203166375318
Therefore, the lowest common multiple of 794,989,414,646,534 is 203166375318.
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.
794 x 989 x 414 x 646 x 534 = 112147839175536
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.
794 : 1, 2, 397, 794
989 : 1, 23, 43, 989
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
646 : 1, 2, 17, 19, 34, 38, 323, 646
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 794,989,414,646,534, is 1.
Now, the common factors can be found like this.
794:2x 397
989:23x 43
414:2x 3x 3x 23
646:2x 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 2x 2x 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 112147839175536/(1x552)
LCM = 112147839175536/552
LCM = 203166375318
Thus, we can understand that the LCM of 794,989,414,646,534 is 203166375318.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 794, 989, 414, 646, 534?
Answer: LCM of 794, 989, 414, 646, 534 is 203166375318.
2. How to calculate the LCM of 794, 989, 414, 646, 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 794, 989, 414, 646, 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}.