LCM of 364, 702, 284, 719, 934
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 364, 702, 284, 719, 934 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 364, 702, 284, 719, 934. So, keep reading to learn more.
Given numbers are 364,702,284,719,934
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,702,284,719,934 is 234298370124.
Find LCM of 364,702,284,719,934 with Prime Factorization
| 2 | 364, 702, 284, 719, 934 |
| 2 | 182, 351, 142, 719, 467 |
| 13 | 91, 351, 71, 719, 467 |
| 7, 27, 71, 719, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 7 x 27 x 71 x 719 x 467 = 234298370124
Therefore, the lowest common multiple of 364,702,284,719,934 is 234298370124.
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.
364 x 702 x 284 x 719 x 934 = 48734060985792
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
284 : 1, 2, 4, 71, 142, 284
719 : 1, 719
934 : 1, 2, 467, 934
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,702,284,719,934, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
702:2x 3x 3x 3x 13
284:2x 2x 71
719:719
934:2x 467
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 13 = 208
Therefore, the value for common factors is 208.
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 = 48734060985792/(1x208)
LCM = 48734060985792/208
LCM = 234298370124
Thus, we can understand that the LCM of 364,702,284,719,934 is 234298370124.
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FAQs on LCM of 364, 702, 284, 719, 934
1. What is the LCM of 364, 702, 284, 719, 934?
Answer: LCM of 364, 702, 284, 719, 934 is 234298370124.
2. How to calculate the LCM of 364, 702, 284, 719, 934?
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 364, 702, 284, 719, 934.
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}.