LCM of 861, 164, 413, 254, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 164, 413, 254, 984 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 861, 164, 413, 254, 984. So, keep reading to learn more.
Given numbers are 861,164,413,254,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,164,413,254,984 is 51611784.
Find LCM of 861,164,413,254,984 with Prime Factorization
| 2 | 861, 164, 413, 254, 984 |
| 2 | 861, 82, 413, 127, 492 |
| 3 | 861, 41, 413, 127, 246 |
| 7 | 287, 41, 413, 127, 82 |
| 41 | 41, 41, 59, 127, 82 |
| 1, 1, 59, 127, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 1 x 1 x 59 x 127 x 2 = 51611784
Therefore, the lowest common multiple of 861,164,413,254,984 is 51611784.
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.
861 x 164 x 413 x 254 x 984 = 14575580695872
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
164 : 1, 2, 4, 41, 82, 164
413 : 1, 7, 59, 413
254 : 1, 2, 127, 254
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,164,413,254,984, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
164:2x 2x 41
413:7x 59
254:2x 127
984:2x 2x 2x 3x 41
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 7x 41x 41 = 282408
Therefore, the value for common factors is 282408.
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 = 14575580695872/(1x282408)
LCM = 14575580695872/282408
LCM = 51611784
Thus, we can understand that the LCM of 861,164,413,254,984 is 51611784.
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FAQs on LCM of 861, 164, 413, 254, 984
1. What is the LCM of 861, 164, 413, 254, 984?
Answer: LCM of 861, 164, 413, 254, 984 is 51611784.
2. How to calculate the LCM of 861, 164, 413, 254, 984?
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 861, 164, 413, 254, 984.
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}.