Find the LCM of 398, 672, 518, 368 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, 672, 518, 368. So, keep reading to learn more.
Given numbers are 398,672,518,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,672,518,368 is 113802528.
Find LCM of 398,672,518,368 with Prime Factorization
2 | 398, 672, 518, 368 |
2 | 199, 336, 259, 184 |
2 | 199, 168, 259, 92 |
2 | 199, 84, 259, 46 |
7 | 199, 42, 259, 23 |
199, 6, 37, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 199 x 6 x 37 x 23 = 113802528
Therefore, the lowest common multiple of 398,672,518,368 is 113802528.
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 672 x 518 x 368 = 50983532544
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
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
518 : 1, 2, 7, 14, 37, 74, 259, 518
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,672,518,368, is 2.
Now, the common factors can be found like this.
398:2x 199
672:2x 2x 2x 2x 2x 3x 7
518:2x 7x 37
368:2x 2x 2x 2x 23
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 7 = 224
Therefore, the value for common factors is 224.
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 = 50983532544/(2x224)
LCM = 50983532544/448
LCM = 113802528
Thus, we can understand that the LCM of 398,672,518,368 is 113802528.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 398, 672, 518, 368?
Answer: LCM of 398, 672, 518, 368 is 113802528.
2. How to calculate the LCM of 398, 672, 518, 368?
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, 672, 518, 368.
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}.