LCM of 439, 984, 975, 888, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 439, 984, 975, 888, 545 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, 984, 975, 888, 545. So, keep reading to learn more.
Given numbers are 439,984,975,888,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 439,984,975,888,545 is 566201742600.
Find LCM of 439,984,975,888,545 with Prime Factorization
| 2 | 439, 984, 975, 888, 545 |
| 2 | 439, 492, 975, 444, 545 |
| 2 | 439, 246, 975, 222, 545 |
| 3 | 439, 123, 975, 111, 545 |
| 5 | 439, 41, 325, 37, 545 |
| 439, 41, 65, 37, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 439 x 41 x 65 x 37 x 109 = 566201742600
Therefore, the lowest common multiple of 439,984,975,888,545 is 566201742600.
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 984 x 975 x 888 x 545 = 203832627336000
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
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 439,984,975,888,545, is 1.
Now, the common factors can be found like this.
439:439
984:2x 2x 2x 3x 41
975:3x 5x 5x 13
888:2x 2x 2x 3x 37
545:5x 109
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 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 203832627336000/(1x360)
LCM = 203832627336000/360
LCM = 566201742600
Thus, we can understand that the LCM of 439,984,975,888,545 is 566201742600.
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FAQs on LCM of 439, 984, 975, 888, 545
1. What is the LCM of 439, 984, 975, 888, 545?
Answer: LCM of 439, 984, 975, 888, 545 is 566201742600.
2. How to calculate the LCM of 439, 984, 975, 888, 545?
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, 984, 975, 888, 545.
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}.