Find the LCM of 605, 924, 534, 525, 838 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 605, 924, 534, 525, 838. So, keep reading to learn more.
Given numbers are 605,924,534,525,838
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,924,534,525,838 is 9475643100.
Find LCM of 605,924,534,525,838 with Prime Factorization
2 | 605, 924, 534, 525, 838 |
3 | 605, 462, 267, 525, 419 |
5 | 605, 154, 89, 175, 419 |
7 | 121, 154, 89, 35, 419 |
11 | 121, 22, 89, 5, 419 |
11, 2, 89, 5, 419 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 11 x 2 x 89 x 5 x 419 = 9475643100
Therefore, the lowest common multiple of 605,924,534,525,838 is 9475643100.
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.
605 x 924 x 534 x 525 x 838 = 131332413366000
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.
605 : 1, 5, 11, 55, 121, 605
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
534 : 1, 2, 3, 6, 89, 178, 267, 534
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
838 : 1, 2, 419, 838
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,924,534,525,838, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
924:2x 2x 3x 7x 11
534:2x 3x 89
525:3x 5x 5x 7
838:2x 419
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 3x 3x 5x 7x 11 = 13860
Therefore, the value for common factors is 13860.
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 = 131332413366000/(1x13860)
LCM = 131332413366000/13860
LCM = 9475643100
Thus, we can understand that the LCM of 605,924,534,525,838 is 9475643100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 605, 924, 534, 525, 838?
Answer: LCM of 605, 924, 534, 525, 838 is 9475643100.
2. How to calculate the LCM of 605, 924, 534, 525, 838?
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 605, 924, 534, 525, 838.
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}.