LCM of 781, 872, 910, 842, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 872, 910, 842, 416 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 781, 872, 910, 842, 416. So, keep reading to learn more.
Given numbers are 781,872,910,842,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,872,910,842,416 is 521820339040.
Find LCM of 781,872,910,842,416 with Prime Factorization
| 2 | 781, 872, 910, 842, 416 |
| 2 | 781, 436, 455, 421, 208 |
| 2 | 781, 218, 455, 421, 104 |
| 13 | 781, 109, 455, 421, 52 |
| 781, 109, 35, 421, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 781 x 109 x 35 x 421 x 4 = 521820339040
Therefore, the lowest common multiple of 781,872,910,842,416 is 521820339040.
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.
781 x 872 x 910 x 842 x 416 = 217077261040640
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.
781 : 1, 11, 71, 781
872 : 1, 2, 4, 8, 109, 218, 436, 872
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
842 : 1, 2, 421, 842
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,872,910,842,416, is 1.
Now, the common factors can be found like this.
781:11x 71
872:2x 2x 2x 109
910:2x 5x 7x 13
842:2x 421
416:2x 2x 2x 2x 2x 13
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 2x 2x 13 = 416
Therefore, the value for common factors is 416.
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 = 217077261040640/(1x416)
LCM = 217077261040640/416
LCM = 521820339040
Thus, we can understand that the LCM of 781,872,910,842,416 is 521820339040.
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FAQs on LCM of 781, 872, 910, 842, 416
1. What is the LCM of 781, 872, 910, 842, 416?
Answer: LCM of 781, 872, 910, 842, 416 is 521820339040.
2. How to calculate the LCM of 781, 872, 910, 842, 416?
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 781, 872, 910, 842, 416.
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}.