LCM of 185, 204, 702, 663, 639
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 185, 204, 702, 663, 639 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 185, 204, 702, 663, 639. So, keep reading to learn more.
Given numbers are 185,204,702,663,639
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 185,204,702,663,639 is 313506180.
Find LCM of 185,204,702,663,639 with Prime Factorization
| 2 | 185, 204, 702, 663, 639 |
| 3 | 185, 102, 351, 663, 639 |
| 3 | 185, 34, 117, 221, 213 |
| 13 | 185, 34, 39, 221, 71 |
| 17 | 185, 34, 3, 17, 71 |
| 185, 2, 3, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 17 x 185 x 2 x 3 x 1 x 71 = 313506180
Therefore, the lowest common multiple of 185,204,702,663,639 is 313506180.
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.
185 x 204 x 702 x 663 x 639 = 11224148256360
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.
185 : 1, 5, 37, 185
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
663 : 1, 3, 13, 17, 39, 51, 221, 663
639 : 1, 3, 9, 71, 213, 639
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,204,702,663,639, is 1.
Now, the common factors can be found like this.
185:5x 37
204:2x 2x 3x 17
702:2x 3x 3x 3x 13
663:3x 13x 17
639:3x 3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 13x 17 = 35802
Therefore, the value for common factors is 35802.
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 = 11224148256360/(1x35802)
LCM = 11224148256360/35802
LCM = 313506180
Thus, we can understand that the LCM of 185,204,702,663,639 is 313506180.
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FAQs on LCM of 185, 204, 702, 663, 639
1. What is the LCM of 185, 204, 702, 663, 639?
Answer: LCM of 185, 204, 702, 663, 639 is 313506180.
2. How to calculate the LCM of 185, 204, 702, 663, 639?
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 185, 204, 702, 663, 639.
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}.