LCM of 358, 153, 891, 289
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 153, 891, 289 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 358, 153, 891, 289. So, keep reading to learn more.
Given numbers are 358,153,891,289
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,153,891,289 is 92184642.
Find LCM of 358,153,891,289 with Prime Factorization
| 3 | 358, 153, 891, 289 |
| 3 | 358, 51, 297, 289 |
| 17 | 358, 17, 99, 289 |
| 358, 1, 99, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 17 x 358 x 1 x 99 x 17 = 92184642
Therefore, the lowest common multiple of 358,153,891,289 is 92184642.
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.
358 x 153 x 891 x 289 = 14104250226
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.
358 : 1, 2, 179, 358
153 : 1, 3, 9, 17, 51, 153
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
289 : 1, 17, 289
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,153,891,289, is 1.
Now, the common factors can be found like this.
358:2x 179
153:3x 3x 17
891:3x 3x 3x 3x 11
289:17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 14104250226/(1x153)
LCM = 14104250226/153
LCM = 92184642
Thus, we can understand that the LCM of 358,153,891,289 is 92184642.
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FAQs on LCM of 358, 153, 891, 289
1. What is the LCM of 358, 153, 891, 289?
Answer: LCM of 358, 153, 891, 289 is 92184642.
2. How to calculate the LCM of 358, 153, 891, 289?
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 358, 153, 891, 289.
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}.