Find the LCM of 598, 669, 454, 446 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, 669, 454, 446. So, keep reading to learn more.
Given numbers are 598,669,454,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,669,454,446 is 90814074.
Find LCM of 598,669,454,446 with Prime Factorization
2 | 598, 669, 454, 446 |
223 | 299, 669, 227, 223 |
299, 3, 227, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 223 x 299 x 3 x 227 x 1 = 90814074
Therefore, the lowest common multiple of 598,669,454,446 is 90814074.
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 669 x 454 x 446 = 81006154008
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
669 : 1, 3, 223, 669
454 : 1, 2, 227, 454
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,669,454,446, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
669:3x 223
454:2x 227
446:2x 223
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 223 = 892
Therefore, the value for common factors is 892.
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 = 81006154008/(1x892)
LCM = 81006154008/892
LCM = 90814074
Thus, we can understand that the LCM of 598,669,454,446 is 90814074.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 598, 669, 454, 446?
Answer: LCM of 598, 669, 454, 446 is 90814074.
2. How to calculate the LCM of 598, 669, 454, 446?
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, 669, 454, 446.
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}.