Find the LCM of 608, 930, 712, 837, 523 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 608, 930, 712, 837, 523. So, keep reading to learn more.
Given numbers are 608,930,712,837,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 608,930,712,837,523 is 118437910560.
Find LCM of 608,930,712,837,523 with Prime Factorization
2 | 608, 930, 712, 837, 523 |
2 | 304, 465, 356, 837, 523 |
2 | 152, 465, 178, 837, 523 |
3 | 76, 465, 89, 837, 523 |
31 | 76, 155, 89, 279, 523 |
76, 5, 89, 9, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 76 x 5 x 89 x 9 x 523 = 118437910560
Therefore, the lowest common multiple of 608,930,712,837,523 is 118437910560.
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.
608 x 930 x 712 x 837 x 523 = 176235610913280
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.
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
712 : 1, 2, 4, 8, 89, 178, 356, 712
837 : 1, 3, 9, 27, 31, 93, 279, 837
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,930,712,837,523, is 1.
Now, the common factors can be found like this.
608:2x 2x 2x 2x 2x 19
930:2x 3x 5x 31
712:2x 2x 2x 89
837:3x 3x 3x 31
523:523
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 2x 3x 31 = 1488
Therefore, the value for common factors is 1488.
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 = 176235610913280/(1x1488)
LCM = 176235610913280/1488
LCM = 118437910560
Thus, we can understand that the LCM of 608,930,712,837,523 is 118437910560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 608, 930, 712, 837, 523?
Answer: LCM of 608, 930, 712, 837, 523 is 118437910560.
2. How to calculate the LCM of 608, 930, 712, 837, 523?
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 608, 930, 712, 837, 523.
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}.