LCM of 129, 824, 369, 855, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 129, 824, 369, 855, 368 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 129, 824, 369, 855, 368. So, keep reading to learn more.
Given numbers are 129,824,369,855,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 129,824,369,855,368 is 57135162960.
Find LCM of 129,824,369,855,368 with Prime Factorization
| 2 | 129, 824, 369, 855, 368 |
| 2 | 129, 412, 369, 855, 184 |
| 2 | 129, 206, 369, 855, 92 |
| 3 | 129, 103, 369, 855, 46 |
| 3 | 43, 103, 123, 285, 46 |
| 43, 103, 41, 95, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 43 x 103 x 41 x 95 x 46 = 57135162960
Therefore, the lowest common multiple of 129,824,369,855,368 is 57135162960.
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.
129 x 824 x 369 x 855 x 368 = 12341195199360
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.
129 : 1, 3, 43, 129
824 : 1, 2, 4, 8, 103, 206, 412, 824
369 : 1, 3, 9, 41, 123, 369
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,824,369,855,368, is 1.
Now, the common factors can be found like this.
129:3x 43
824:2x 2x 2x 103
369:3x 3x 41
855:3x 3x 5x 19
368:2x 2x 2x 2x 23
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 3 = 216
Therefore, the value for common factors is 216.
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 = 12341195199360/(1x216)
LCM = 12341195199360/216
LCM = 57135162960
Thus, we can understand that the LCM of 129,824,369,855,368 is 57135162960.
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FAQs on LCM of 129, 824, 369, 855, 368
1. What is the LCM of 129, 824, 369, 855, 368?
Answer: LCM of 129, 824, 369, 855, 368 is 57135162960.
2. How to calculate the LCM of 129, 824, 369, 855, 368?
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 129, 824, 369, 855, 368.
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}.