LCM of 287, 832, 969, 714, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 832, 969, 714, 884 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 287, 832, 969, 714, 884. So, keep reading to learn more.
Given numbers are 287,832,969,714,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,832,969,714,884 is 231381696.
Find LCM of 287,832,969,714,884 with Prime Factorization
| 2 | 287, 832, 969, 714, 884 |
| 2 | 287, 416, 969, 357, 442 |
| 3 | 287, 208, 969, 357, 221 |
| 7 | 287, 208, 323, 119, 221 |
| 13 | 41, 208, 323, 17, 221 |
| 17 | 41, 16, 323, 17, 17 |
| 41, 16, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 17 x 41 x 16 x 19 x 1 x 1 = 231381696
Therefore, the lowest common multiple of 287,832,969,714,884 is 231381696.
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.
287 x 832 x 969 x 714 x 884 = 146042573354496
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.
287 : 1, 7, 41, 287
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
969 : 1, 3, 17, 19, 51, 57, 323, 969
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,832,969,714,884, is 1.
Now, the common factors can be found like this.
287:7x 41
832:2x 2x 2x 2x 2x 2x 13
969:3x 17x 19
714:2x 3x 7x 17
884:2x 2x 13x 17
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 13x 17x 17 = 631176
Therefore, the value for common factors is 631176.
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 = 146042573354496/(1x631176)
LCM = 146042573354496/631176
LCM = 231381696
Thus, we can understand that the LCM of 287,832,969,714,884 is 231381696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 287, 832, 969, 714, 884
1. What is the LCM of 287, 832, 969, 714, 884?
Answer: LCM of 287, 832, 969, 714, 884 is 231381696.
2. How to calculate the LCM of 287, 832, 969, 714, 884?
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 287, 832, 969, 714, 884.
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}.