LCM of 383, 286, 357, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 286, 357, 946 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 383, 286, 357, 946. So, keep reading to learn more.
Given numbers are 383,286,357,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,286,357,946 is 1681517838.
Find LCM of 383,286,357,946 with Prime Factorization
| 2 | 383, 286, 357, 946 |
| 11 | 383, 143, 357, 473 |
| 383, 13, 357, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 383 x 13 x 357 x 43 = 1681517838
Therefore, the lowest common multiple of 383,286,357,946 is 1681517838.
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.
383 x 286 x 357 x 946 = 36993392436
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.
383 : 1, 383
286 : 1, 2, 11, 13, 22, 26, 143, 286
357 : 1, 3, 7, 17, 21, 51, 119, 357
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,286,357,946, is 1.
Now, the common factors can be found like this.
383:383
286:2x 11x 13
357:3x 7x 17
946:2x 11x 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 11 = 22
Therefore, the value for common factors is 22.
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 = 36993392436/(1x22)
LCM = 36993392436/22
LCM = 1681517838
Thus, we can understand that the LCM of 383,286,357,946 is 1681517838.
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FAQs on LCM of 383, 286, 357, 946
1. What is the LCM of 383, 286, 357, 946?
Answer: LCM of 383, 286, 357, 946 is 1681517838.
2. How to calculate the LCM of 383, 286, 357, 946?
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 383, 286, 357, 946.
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}.