LCM of 935, 646, 480, 846, 159
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 935, 646, 480, 846, 159 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 935, 646, 480, 846, 159. So, keep reading to learn more.
Given numbers are 935,646,480,846,159
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 935,646,480,846,159 is 12744753120.
Find LCM of 935,646,480,846,159 with Prime Factorization
| 2 | 935, 646, 480, 846, 159 |
| 3 | 935, 323, 240, 423, 159 |
| 5 | 935, 323, 80, 141, 53 |
| 17 | 187, 323, 16, 141, 53 |
| 11, 19, 16, 141, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 11 x 19 x 16 x 141 x 53 = 12744753120
Therefore, the lowest common multiple of 935,646,480,846,159 is 12744753120.
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.
935 x 646 x 480 x 846 x 159 = 38998944547200
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.
935 : 1, 5, 11, 17, 55, 85, 187, 935
646 : 1, 2, 17, 19, 34, 38, 323, 646
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
159 : 1, 3, 53, 159
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 935,646,480,846,159, is 1.
Now, the common factors can be found like this.
935:5x 11x 17
646:2x 17x 19
480:2x 2x 2x 2x 2x 3x 5
846:2x 3x 3x 47
159:3x 53
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 3x 5x 17 = 3060
Therefore, the value for common factors is 3060.
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 = 38998944547200/(1x3060)
LCM = 38998944547200/3060
LCM = 12744753120
Thus, we can understand that the LCM of 935,646,480,846,159 is 12744753120.
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FAQs on LCM of 935, 646, 480, 846, 159
1. What is the LCM of 935, 646, 480, 846, 159?
Answer: LCM of 935, 646, 480, 846, 159 is 12744753120.
2. How to calculate the LCM of 935, 646, 480, 846, 159?
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 935, 646, 480, 846, 159.
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}.