Find the LCM of 921, 598, 726, 540, 468 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 921, 598, 726, 540, 468. So, keep reading to learn more.
Given numbers are 921,598,726,540,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,598,726,540,468 is 5997754620.
Find LCM of 921,598,726,540,468 with Prime Factorization
2 | 921, 598, 726, 540, 468 |
2 | 921, 299, 363, 270, 234 |
3 | 921, 299, 363, 135, 117 |
3 | 307, 299, 121, 45, 39 |
13 | 307, 299, 121, 15, 13 |
307, 23, 121, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 307 x 23 x 121 x 15 x 1 = 5997754620
Therefore, the lowest common multiple of 921,598,726,540,468 is 5997754620.
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.
921 x 598 x 726 x 540 x 468 = 101050169837760
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.
921 : 1, 3, 307, 921
598 : 1, 2, 13, 23, 26, 46, 299, 598
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,598,726,540,468, is 1.
Now, the common factors can be found like this.
921:3x 307
598:2x 13x 23
726:2x 3x 11x 11
540:2x 2x 3x 3x 3x 5
468:2x 2x 3x 3x 13
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 3x 3x 3x 13 = 16848
Therefore, the value for common factors is 16848.
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 = 101050169837760/(1x16848)
LCM = 101050169837760/16848
LCM = 5997754620
Thus, we can understand that the LCM of 921,598,726,540,468 is 5997754620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 921, 598, 726, 540, 468?
Answer: LCM of 921, 598, 726, 540, 468 is 5997754620.
2. How to calculate the LCM of 921, 598, 726, 540, 468?
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 921, 598, 726, 540, 468.
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}.