LCM of 145, 155, 684, 459, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 145, 155, 684, 459, 130 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 145, 155, 684, 459, 130. So, keep reading to learn more.
Given numbers are 145,155,684,459,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,155,684,459,130 is 2038446540.
Find LCM of 145,155,684,459,130 with Prime Factorization
| 2 | 145, 155, 684, 459, 130 |
| 3 | 145, 155, 342, 459, 65 |
| 3 | 145, 155, 114, 153, 65 |
| 5 | 145, 155, 38, 51, 65 |
| 29, 31, 38, 51, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 29 x 31 x 38 x 51 x 13 = 2038446540
Therefore, the lowest common multiple of 145,155,684,459,130 is 2038446540.
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.
145 x 155 x 684 x 459 x 130 = 917300943000
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.
145 : 1, 5, 29, 145
155 : 1, 5, 31, 155
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
459 : 1, 3, 9, 17, 27, 51, 153, 459
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,155,684,459,130, is 1.
Now, the common factors can be found like this.
145:5x 29
155:5x 31
684:2x 2x 3x 3x 19
459:3x 3x 3x 17
130:2x 5x 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 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 917300943000/(1x450)
LCM = 917300943000/450
LCM = 2038446540
Thus, we can understand that the LCM of 145,155,684,459,130 is 2038446540.
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FAQs on LCM of 145, 155, 684, 459, 130
1. What is the LCM of 145, 155, 684, 459, 130?
Answer: LCM of 145, 155, 684, 459, 130 is 2038446540.
2. How to calculate the LCM of 145, 155, 684, 459, 130?
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 145, 155, 684, 459, 130.
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}.