LCM of 439, 146, 657, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 146, 657, 834 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 439, 146, 657, 834. So, keep reading to learn more.
Given numbers are 439,146,657,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,146,657,834 is 80181594.
Find LCM of 439,146,657,834 with Prime Factorization
| 2 | 439, 146, 657, 834 |
| 3 | 439, 73, 657, 417 |
| 73 | 439, 73, 219, 139 |
| 439, 1, 3, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 439 x 1 x 3 x 139 = 80181594
Therefore, the lowest common multiple of 439,146,657,834 is 80181594.
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.
439 x 146 x 657 x 834 = 35119538172
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.
439 : 1, 439
146 : 1, 2, 73, 146
657 : 1, 3, 9, 73, 219, 657
834 : 1, 2, 3, 6, 139, 278, 417, 834
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,146,657,834, is 1.
Now, the common factors can be found like this.
439:439
146:2x 73
657:3x 3x 73
834:2x 3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 73 = 438
Therefore, the value for common factors is 438.
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 = 35119538172/(1x438)
LCM = 35119538172/438
LCM = 80181594
Thus, we can understand that the LCM of 439,146,657,834 is 80181594.
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FAQs on LCM of 439, 146, 657, 834
1. What is the LCM of 439, 146, 657, 834?
Answer: LCM of 439, 146, 657, 834 is 80181594.
2. How to calculate the LCM of 439, 146, 657, 834?
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 439, 146, 657, 834.
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}.