LCM of 139, 711, 324, 487
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 139, 711, 324, 487 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 139, 711, 324, 487. So, keep reading to learn more.
Given numbers are 139,711,324,487
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 139,711,324,487 is 1732670028.
Find LCM of 139,711,324,487 with Prime Factorization
| 3 | 139, 711, 324, 487 |
| 3 | 139, 237, 108, 487 |
| 139, 79, 36, 487 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 139 x 79 x 36 x 487 = 1732670028
Therefore, the lowest common multiple of 139,711,324,487 is 1732670028.
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.
139 x 711 x 324 x 487 = 15594030252
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.
139 : 1, 139
711 : 1, 3, 9, 79, 237, 711
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
487 : 1, 487
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,711,324,487, is 1.
Now, the common factors can be found like this.
139:139
711:3x 3x 79
324:2x 2x 3x 3x 3x 3
487:487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 15594030252/(1x9)
LCM = 15594030252/9
LCM = 1732670028
Thus, we can understand that the LCM of 139,711,324,487 is 1732670028.
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FAQs on LCM of 139, 711, 324, 487
1. What is the LCM of 139, 711, 324, 487?
Answer: LCM of 139, 711, 324, 487 is 1732670028.
2. How to calculate the LCM of 139, 711, 324, 487?
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 139, 711, 324, 487.
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}.