LCM of 341, 158, 649, 236, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 341, 158, 649, 236, 357 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 341, 158, 649, 236, 357. So, keep reading to learn more.
Given numbers are 341,158,649,236,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,158,649,236,357 is 2269664628.
Find LCM of 341,158,649,236,357 with Prime Factorization
| 2 | 341, 158, 649, 236, 357 |
| 11 | 341, 79, 649, 118, 357 |
| 59 | 31, 79, 59, 118, 357 |
| 31, 79, 1, 2, 357 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 59 x 31 x 79 x 1 x 2 x 357 = 2269664628
Therefore, the lowest common multiple of 341,158,649,236,357 is 2269664628.
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.
341 x 158 x 649 x 236 x 357 = 2946024687144
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.
341 : 1, 11, 31, 341
158 : 1, 2, 79, 158
649 : 1, 11, 59, 649
236 : 1, 2, 4, 59, 118, 236
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,158,649,236,357, is 1.
Now, the common factors can be found like this.
341:11x 31
158:2x 79
649:11x 59
236:2x 2x 59
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 59 = 1298
Therefore, the value for common factors is 1298.
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 = 2946024687144/(1x1298)
LCM = 2946024687144/1298
LCM = 2269664628
Thus, we can understand that the LCM of 341,158,649,236,357 is 2269664628.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 341, 158, 649, 236, 357
1. What is the LCM of 341, 158, 649, 236, 357?
Answer: LCM of 341, 158, 649, 236, 357 is 2269664628.
2. How to calculate the LCM of 341, 158, 649, 236, 357?
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 341, 158, 649, 236, 357.
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}.