LCM of 382, 724, 234, 738, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 724, 234, 738, 686 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 382, 724, 234, 738, 686. So, keep reading to learn more.
Given numbers are 382,724,234,738,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,724,234,738,686 is 227528483364.
Find LCM of 382,724,234,738,686 with Prime Factorization
| 2 | 382, 724, 234, 738, 686 |
| 3 | 191, 362, 117, 369, 343 |
| 3 | 191, 362, 39, 123, 343 |
| 191, 362, 13, 41, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 191 x 362 x 13 x 41 x 343 = 227528483364
Therefore, the lowest common multiple of 382,724,234,738,686 is 227528483364.
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.
382 x 724 x 234 x 738 x 686 = 32764101604416
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.
382 : 1, 2, 191, 382
724 : 1, 2, 4, 181, 362, 724
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
686 : 1, 2, 7, 14, 49, 98, 343, 686
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,724,234,738,686, is 2.
Now, the common factors can be found like this.
382:2x 191
724:2x 2x 181
234:2x 3x 3x 13
738:2x 3x 3x 41
686:2x 7x 7x 7
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 32764101604416/(2x72)
LCM = 32764101604416/144
LCM = 227528483364
Thus, we can understand that the LCM of 382,724,234,738,686 is 227528483364.
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FAQs on LCM of 382, 724, 234, 738, 686
1. What is the LCM of 382, 724, 234, 738, 686?
Answer: LCM of 382, 724, 234, 738, 686 is 227528483364.
2. How to calculate the LCM of 382, 724, 234, 738, 686?
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 382, 724, 234, 738, 686.
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}.