LCM of 359, 990, 379, 858, 133
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 990, 379, 858, 133 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 359, 990, 379, 858, 133. So, keep reading to learn more.
Given numbers are 359,990,379,858,133
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,990,379,858,133 is 232896974310.
Find LCM of 359,990,379,858,133 with Prime Factorization
| 2 | 359, 990, 379, 858, 133 |
| 3 | 359, 495, 379, 429, 133 |
| 11 | 359, 165, 379, 143, 133 |
| 359, 15, 379, 13, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 359 x 15 x 379 x 13 x 133 = 232896974310
Therefore, the lowest common multiple of 359,990,379,858,133 is 232896974310.
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.
359 x 990 x 379 x 858 x 133 = 15371200304460
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.
359 : 1, 359
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
379 : 1, 379
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
133 : 1, 7, 19, 133
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,990,379,858,133, is 1.
Now, the common factors can be found like this.
359:359
990:2x 3x 3x 5x 11
379:379
858:2x 3x 11x 13
133:7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 15371200304460/(1x66)
LCM = 15371200304460/66
LCM = 232896974310
Thus, we can understand that the LCM of 359,990,379,858,133 is 232896974310.
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FAQs on LCM of 359, 990, 379, 858, 133
1. What is the LCM of 359, 990, 379, 858, 133?
Answer: LCM of 359, 990, 379, 858, 133 is 232896974310.
2. How to calculate the LCM of 359, 990, 379, 858, 133?
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 359, 990, 379, 858, 133.
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}.