LCM of 974, 405, 286, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 974, 405, 286, 364 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 974, 405, 286, 364. So, keep reading to learn more.
Given numbers are 974,405,286,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 974,405,286,364 is 789728940.
Find LCM of 974,405,286,364 with Prime Factorization
| 2 | 974, 405, 286, 364 |
| 13 | 487, 405, 143, 182 |
| 487, 405, 11, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 487 x 405 x 11 x 14 = 789728940
Therefore, the lowest common multiple of 974,405,286,364 is 789728940.
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.
974 x 405 x 286 x 364 = 41065904880
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.
974 : 1, 2, 487, 974
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
286 : 1, 2, 11, 13, 22, 26, 143, 286
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,405,286,364, is 1.
Now, the common factors can be found like this.
974:2x 487
405:3x 3x 3x 3x 5
286:2x 11x 13
364:2x 2x 7x 13
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 13 = 52
Therefore, the value for common factors is 52.
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 = 41065904880/(1x52)
LCM = 41065904880/52
LCM = 789728940
Thus, we can understand that the LCM of 974,405,286,364 is 789728940.
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FAQs on LCM of 974, 405, 286, 364
1. What is the LCM of 974, 405, 286, 364?
Answer: LCM of 974, 405, 286, 364 is 789728940.
2. How to calculate the LCM of 974, 405, 286, 364?
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 974, 405, 286, 364.
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}.