Find the LCM of 805, 374, 158, 430, 398 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 805, 374, 158, 430, 398. So, keep reading to learn more.
Given numbers are 805,374,158,430,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 805,374,158,430,398 is 203524223210.
Find LCM of 805,374,158,430,398 with Prime Factorization
2 | 805, 374, 158, 430, 398 |
5 | 805, 187, 79, 215, 199 |
161, 187, 79, 43, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 161 x 187 x 79 x 43 x 199 = 203524223210
Therefore, the lowest common multiple of 805,374,158,430,398 is 203524223210.
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.
805 x 374 x 158 x 430 x 398 = 8140968928400
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.
805 : 1, 5, 7, 23, 35, 115, 161, 805
374 : 1, 2, 11, 17, 22, 34, 187, 374
158 : 1, 2, 79, 158
430 : 1, 2, 5, 10, 43, 86, 215, 430
398 : 1, 2, 199, 398
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 805,374,158,430,398, is 1.
Now, the common factors can be found like this.
805:5x 7x 23
374:2x 11x 17
158:2x 79
430:2x 5x 43
398:2x 199
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 5 = 40
Therefore, the value for common factors is 40.
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 = 8140968928400/(1x40)
LCM = 8140968928400/40
LCM = 203524223210
Thus, we can understand that the LCM of 805,374,158,430,398 is 203524223210.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 805, 374, 158, 430, 398?
Answer: LCM of 805, 374, 158, 430, 398 is 203524223210.
2. How to calculate the LCM of 805, 374, 158, 430, 398?
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 805, 374, 158, 430, 398.
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}.