LCM of 449, 639, 884, 136, 234
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 639, 884, 136, 234 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 449, 639, 884, 136, 234. So, keep reading to learn more.
Given numbers are 449,639,884,136,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,639,884,136,234 is 507258648.
Find LCM of 449,639,884,136,234 with Prime Factorization
| 2 | 449, 639, 884, 136, 234 |
| 2 | 449, 639, 442, 68, 117 |
| 3 | 449, 639, 221, 34, 117 |
| 3 | 449, 213, 221, 34, 39 |
| 13 | 449, 71, 221, 34, 13 |
| 17 | 449, 71, 17, 34, 1 |
| 449, 71, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 17 x 449 x 71 x 1 x 2 x 1 = 507258648
Therefore, the lowest common multiple of 449,639,884,136,234 is 507258648.
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.
449 x 639 x 884 x 136 x 234 = 8071499606976
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.
449 : 1, 449
639 : 1, 3, 9, 71, 213, 639
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
136 : 1, 2, 4, 8, 17, 34, 68, 136
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,639,884,136,234, is 1.
Now, the common factors can be found like this.
449:449
639:3x 3x 71
884:2x 2x 13x 17
136:2x 2x 2x 17
234:2x 3x 3x 13
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 3x 13x 17 = 15912
Therefore, the value for common factors is 15912.
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 = 8071499606976/(1x15912)
LCM = 8071499606976/15912
LCM = 507258648
Thus, we can understand that the LCM of 449,639,884,136,234 is 507258648.
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FAQs on LCM of 449, 639, 884, 136, 234
1. What is the LCM of 449, 639, 884, 136, 234?
Answer: LCM of 449, 639, 884, 136, 234 is 507258648.
2. How to calculate the LCM of 449, 639, 884, 136, 234?
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 449, 639, 884, 136, 234.
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}.