LCM of 102, 724, 328, 434
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 724, 328, 434 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 102, 724, 328, 434. So, keep reading to learn more.
Given numbers are 102,724,328,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,724,328,434 is 657025656.
Find LCM of 102,724,328,434 with Prime Factorization
| 2 | 102, 724, 328, 434 |
| 2 | 51, 362, 164, 217 |
| 51, 181, 82, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 51 x 181 x 82 x 217 = 657025656
Therefore, the lowest common multiple of 102,724,328,434 is 657025656.
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.
102 x 724 x 328 x 434 = 10512410496
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
724 : 1, 2, 4, 181, 362, 724
328 : 1, 2, 4, 8, 41, 82, 164, 328
434 : 1, 2, 7, 14, 31, 62, 217, 434
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,724,328,434, is 2.
Now, the common factors can be found like this.
102:2x 3x 17
724:2x 2x 181
328:2x 2x 2x 41
434:2x 7x 31
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 2 = 8
Therefore, the value for common factors is 8.
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 = 10512410496/(2x8)
LCM = 10512410496/16
LCM = 657025656
Thus, we can understand that the LCM of 102,724,328,434 is 657025656.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 102, 724, 328, 434
1. What is the LCM of 102, 724, 328, 434?
Answer: LCM of 102, 724, 328, 434 is 657025656.
2. How to calculate the LCM of 102, 724, 328, 434?
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 102, 724, 328, 434.
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}.