LCM of 104, 422, 282, 869, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 422, 282, 869, 705 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 104, 422, 282, 869, 705. So, keep reading to learn more.
Given numbers are 104,422,282,869,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,422,282,869,705 is 13443881880.
Find LCM of 104,422,282,869,705 with Prime Factorization
| 2 | 104, 422, 282, 869, 705 |
| 3 | 52, 211, 141, 869, 705 |
| 47 | 52, 211, 47, 869, 235 |
| 52, 211, 1, 869, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 47 x 52 x 211 x 1 x 869 x 5 = 13443881880
Therefore, the lowest common multiple of 104,422,282,869,705 is 13443881880.
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.
104 x 422 x 282 x 869 x 705 = 7582349380320
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
422 : 1, 2, 211, 422
282 : 1, 2, 3, 6, 47, 94, 141, 282
869 : 1, 11, 79, 869
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,422,282,869,705, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
422:2x 211
282:2x 3x 47
869:11x 79
705:3x 5x 47
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 3x 47 = 564
Therefore, the value for common factors is 564.
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 = 7582349380320/(1x564)
LCM = 7582349380320/564
LCM = 13443881880
Thus, we can understand that the LCM of 104,422,282,869,705 is 13443881880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 104, 422, 282, 869, 705
1. What is the LCM of 104, 422, 282, 869, 705?
Answer: LCM of 104, 422, 282, 869, 705 is 13443881880.
2. How to calculate the LCM of 104, 422, 282, 869, 705?
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 104, 422, 282, 869, 705.
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}.