LCM of 896, 130, 374, 442, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 896, 130, 374, 442, 549 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, 130, 374, 442, 549. So, keep reading to learn more.
Given numbers are 896,130,374,442,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,130,374,442,549 is 5979093120.
Find LCM of 896,130,374,442,549 with Prime Factorization
| 2 | 896, 130, 374, 442, 549 |
| 13 | 448, 65, 187, 221, 549 |
| 17 | 448, 5, 187, 17, 549 |
| 448, 5, 11, 1, 549 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 448 x 5 x 11 x 1 x 549 = 5979093120
Therefore, the lowest common multiple of 896,130,374,442,549 is 5979093120.
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 130 x 374 x 442 x 549 = 10571036636160
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
130 : 1, 2, 5, 10, 13, 26, 65, 130
374 : 1, 2, 11, 17, 22, 34, 187, 374
442 : 1, 2, 13, 17, 26, 34, 221, 442
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,130,374,442,549, is 1.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
130:2x 5x 13
374:2x 11x 17
442:2x 13x 17
549:3x 3x 61
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 13x 17 = 1768
Therefore, the value for common factors is 1768.
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 = 10571036636160/(1x1768)
LCM = 10571036636160/1768
LCM = 5979093120
Thus, we can understand that the LCM of 896,130,374,442,549 is 5979093120.
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FAQs on LCM of 896, 130, 374, 442, 549
1. What is the LCM of 896, 130, 374, 442, 549?
Answer: LCM of 896, 130, 374, 442, 549 is 5979093120.
2. How to calculate the LCM of 896, 130, 374, 442, 549?
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, 130, 374, 442, 549.
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}.