LCM of 136, 788, 418, 309, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 136, 788, 418, 309, 327 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 136, 788, 418, 309, 327. So, keep reading to learn more.
Given numbers are 136,788,418,309,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 136,788,418,309,327 is 188597702568.
Find LCM of 136,788,418,309,327 with Prime Factorization
| 2 | 136, 788, 418, 309, 327 |
| 2 | 68, 394, 209, 309, 327 |
| 3 | 34, 197, 209, 309, 327 |
| 34, 197, 209, 103, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 34 x 197 x 209 x 103 x 109 = 188597702568
Therefore, the lowest common multiple of 136,788,418,309,327 is 188597702568.
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.
136 x 788 x 418 x 309 x 327 = 4526344861632
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.
136 : 1, 2, 4, 8, 17, 34, 68, 136
788 : 1, 2, 4, 197, 394, 788
418 : 1, 2, 11, 19, 22, 38, 209, 418
309 : 1, 3, 103, 309
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,788,418,309,327, is 1.
Now, the common factors can be found like this.
136:2x 2x 2x 17
788:2x 2x 197
418:2x 11x 19
309:3x 103
327:3x 109
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 3 = 24
Therefore, the value for common factors is 24.
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 = 4526344861632/(1x24)
LCM = 4526344861632/24
LCM = 188597702568
Thus, we can understand that the LCM of 136,788,418,309,327 is 188597702568.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 136, 788, 418, 309, 327
1. What is the LCM of 136, 788, 418, 309, 327?
Answer: LCM of 136, 788, 418, 309, 327 is 188597702568.
2. How to calculate the LCM of 136, 788, 418, 309, 327?
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 136, 788, 418, 309, 327.
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}.