Find the LCM of 398, 822, 375, 824, 774 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 398, 822, 375, 824, 774. So, keep reading to learn more.
Given numbers are 398,822,375,824,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,822,375,824,774 is 1086730443000.
Find LCM of 398,822,375,824,774 with Prime Factorization
2 | 398, 822, 375, 824, 774 |
3 | 199, 411, 375, 412, 387 |
199, 137, 125, 412, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 199 x 137 x 125 x 412 x 129 = 1086730443000
Therefore, the lowest common multiple of 398,822,375,824,774 is 1086730443000.
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.
398 x 822 x 375 x 824 x 774 = 78244591896000
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.
398 : 1, 2, 199, 398
822 : 1, 2, 3, 6, 137, 274, 411, 822
375 : 1, 3, 5, 15, 25, 75, 125, 375
824 : 1, 2, 4, 8, 103, 206, 412, 824
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,822,375,824,774, is 1.
Now, the common factors can be found like this.
398:2x 199
822:2x 3x 137
375:3x 5x 5x 5
824:2x 2x 2x 103
774:2x 3x 3x 43
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 78244591896000/(1x72)
LCM = 78244591896000/72
LCM = 1086730443000
Thus, we can understand that the LCM of 398,822,375,824,774 is 1086730443000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 822, 375, 824, 774?
Answer: LCM of 398, 822, 375, 824, 774 is 1086730443000.
2. How to calculate the LCM of 398, 822, 375, 824, 774?
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 398, 822, 375, 824, 774.
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}.