LCM of 896, 476, 131, 168, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 476, 131, 168, 442 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 896, 476, 131, 168, 442. So, keep reading to learn more.
Given numbers are 896,476,131,168,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,476,131,168,442 is 77820288.
Find LCM of 896,476,131,168,442 with Prime Factorization
| 2 | 896, 476, 131, 168, 442 |
| 2 | 448, 238, 131, 84, 221 |
| 2 | 224, 119, 131, 42, 221 |
| 7 | 112, 119, 131, 21, 221 |
| 17 | 16, 17, 131, 3, 221 |
| 16, 1, 131, 3, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 16 x 1 x 131 x 3 x 13 = 77820288
Therefore, the lowest common multiple of 896,476,131,168,442 is 77820288.
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.
896 x 476 x 131 x 168 x 442 = 4148755193856
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
131 : 1, 131
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,476,131,168,442, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
476:2x 2x 7x 17
131:131
168:2x 2x 2x 3x 7
442:2x 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 2x 2x 2x 7x 7x 17 = 53312
Therefore, the value for common factors is 53312.
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 = 4148755193856/(1x53312)
LCM = 4148755193856/53312
LCM = 77820288
Thus, we can understand that the LCM of 896,476,131,168,442 is 77820288.
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FAQs on LCM of 896, 476, 131, 168, 442
1. What is the LCM of 896, 476, 131, 168, 442?
Answer: LCM of 896, 476, 131, 168, 442 is 77820288.
2. How to calculate the LCM of 896, 476, 131, 168, 442?
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 896, 476, 131, 168, 442.
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}.