LCM of 398, 436, 436, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 398, 436, 436, 302 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, 436, 436, 302. So, keep reading to learn more.
Given numbers are 398,436,436,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 398,436,436,302 is 13101364.
Find LCM of 398,436,436,302 with Prime Factorization
| 2 | 398, 436, 436, 302 |
| 2 | 199, 218, 218, 151 |
| 109 | 199, 109, 109, 151 |
| 199, 1, 1, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 109 x 199 x 1 x 1 x 151 = 13101364
Therefore, the lowest common multiple of 398,436,436,302 is 13101364.
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 436 x 436 x 302 = 22848778816
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
436 : 1, 2, 4, 109, 218, 436
436 : 1, 2, 4, 109, 218, 436
302 : 1, 2, 151, 302
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,436,436,302, is 2.
Now, the common factors can be found like this.
398:2x 199
436:2x 2x 109
436:2x 2x 109
302:2x 151
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 109 = 872
Therefore, the value for common factors is 872.
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 = 22848778816/(2x872)
LCM = 22848778816/1744
LCM = 13101364
Thus, we can understand that the LCM of 398,436,436,302 is 13101364.
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FAQs on LCM of 398, 436, 436, 302
1. What is the LCM of 398, 436, 436, 302?
Answer: LCM of 398, 436, 436, 302 is 13101364.
2. How to calculate the LCM of 398, 436, 436, 302?
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, 436, 436, 302.
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}.