Find the LCM of 598, 804, 676, 124, 250 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 598, 804, 676, 124, 250. So, keep reading to learn more.
Given numbers are 598,804,676,124,250
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,804,676,124,250 is 12109948500.
Find LCM of 598,804,676,124,250 with Prime Factorization
2 | 598, 804, 676, 124, 250 |
2 | 299, 402, 338, 62, 125 |
13 | 299, 201, 169, 31, 125 |
23, 201, 13, 31, 125 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 23 x 201 x 13 x 31 x 125 = 12109948500
Therefore, the lowest common multiple of 598,804,676,124,250 is 12109948500.
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.
598 x 804 x 676 x 124 x 250 = 10075477152000
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
124 : 1, 2, 4, 31, 62, 124
250 : 1, 2, 5, 10, 25, 50, 125, 250
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,804,676,124,250, is 2.
Now, the common factors can be found like this.
598:2x 13x 23
804:2x 2x 3x 67
676:2x 2x 13x 13
124:2x 2x 31
250:2x 5x 5x 5
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 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 10075477152000/(2x416)
LCM = 10075477152000/832
LCM = 12109948500
Thus, we can understand that the LCM of 598,804,676,124,250 is 12109948500.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 804, 676, 124, 250?
Answer: LCM of 598, 804, 676, 124, 250 is 12109948500.
2. How to calculate the LCM of 598, 804, 676, 124, 250?
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 598, 804, 676, 124, 250.
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}.