Find the LCM of 421, 793, 528, 637, 601 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 421, 793, 528, 637, 601. So, keep reading to learn more.
Given numbers are 421,793,528,637,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,793,528,637,601 is 5191104334416.
Find LCM of 421,793,528,637,601 with Prime Factorization
13 | 421, 793, 528, 637, 601 |
421, 61, 528, 49, 601 |
Multiply the prime numbers at the bottom and the left side.
13 x 421 x 61 x 528 x 49 x 601 = 5191104334416
Therefore, the lowest common multiple of 421,793,528,637,601 is 5191104334416.
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.
421 x 793 x 528 x 637 x 601 = 67484356347408
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.
421 : 1, 421
793 : 1, 13, 61, 793
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
637 : 1, 7, 13, 49, 91, 637
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,793,528,637,601, is 1.
Now, the common factors can be found like this.
421:421
793:13x 61
528:2x 2x 2x 2x 3x 11
637:7x 7x 13
601:601
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 67484356347408/(1x13)
LCM = 67484356347408/13
LCM = 5191104334416
Thus, we can understand that the LCM of 421,793,528,637,601 is 5191104334416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 421, 793, 528, 637, 601?
Answer: LCM of 421, 793, 528, 637, 601 is 5191104334416.
2. How to calculate the LCM of 421, 793, 528, 637, 601?
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 421, 793, 528, 637, 601.
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}.