LCM of 145, 988, 345, 114, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 145, 988, 345, 114, 832 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, 988, 345, 114, 832. So, keep reading to learn more.
Given numbers are 145,988,345,114,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,988,345,114,832 is 158159040.
Find LCM of 145,988,345,114,832 with Prime Factorization
| 2 | 145, 988, 345, 114, 832 |
| 2 | 145, 494, 345, 57, 416 |
| 3 | 145, 247, 345, 57, 208 |
| 5 | 145, 247, 115, 19, 208 |
| 13 | 29, 247, 23, 19, 208 |
| 19 | 29, 19, 23, 19, 16 |
| 29, 1, 23, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 19 x 29 x 1 x 23 x 1 x 16 = 158159040
Therefore, the lowest common multiple of 145,988,345,114,832 is 158159040.
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 988 x 345 x 114 x 832 = 4687833945600
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
345 : 1, 3, 5, 15, 23, 69, 115, 345
114 : 1, 2, 3, 6, 19, 38, 57, 114
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,988,345,114,832, is 1.
Now, the common factors can be found like this.
145:5x 29
988:2x 2x 13x 19
345:3x 5x 23
114:2x 3x 19
832:2x 2x 2x 2x 2x 2x 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 5x 13x 19 = 29640
Therefore, the value for common factors is 29640.
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 = 4687833945600/(1x29640)
LCM = 4687833945600/29640
LCM = 158159040
Thus, we can understand that the LCM of 145,988,345,114,832 is 158159040.
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FAQs on LCM of 145, 988, 345, 114, 832
1. What is the LCM of 145, 988, 345, 114, 832?
Answer: LCM of 145, 988, 345, 114, 832 is 158159040.
2. How to calculate the LCM of 145, 988, 345, 114, 832?
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, 988, 345, 114, 832.
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}.