Find the LCM of 935, 426, 493, 821, 341 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 935, 426, 493, 821, 341. So, keep reading to learn more.
Given numbers are 935,426,493,821,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,426,493,821,341 is 293984246490.
Find LCM of 935,426,493,821,341 with Prime Factorization
11 | 935, 426, 493, 821, 341 |
17 | 85, 426, 493, 821, 31 |
5, 426, 29, 821, 31 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 5 x 426 x 29 x 821 x 31 = 293984246490
Therefore, the lowest common multiple of 935,426,493,821,341 is 293984246490.
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.
935 x 426 x 493 x 821 x 341 = 54975054093630
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
426 : 1, 2, 3, 6, 71, 142, 213, 426
493 : 1, 17, 29, 493
821 : 1, 821
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,426,493,821,341, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
426:2x 3x 71
493:17x 29
821:821
341:11x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 54975054093630/(1x187)
LCM = 54975054093630/187
LCM = 293984246490
Thus, we can understand that the LCM of 935,426,493,821,341 is 293984246490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 935, 426, 493, 821, 341?
Answer: LCM of 935, 426, 493, 821, 341 is 293984246490.
2. How to calculate the LCM of 935, 426, 493, 821, 341?
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 935, 426, 493, 821, 341.
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}.