LCM of 505, 943, 379, 442, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 943, 379, 442, 170 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 505, 943, 379, 442, 170. So, keep reading to learn more.
Given numbers are 505,943,379,442,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,943,379,442,170 is 79774584370.
Find LCM of 505,943,379,442,170 with Prime Factorization
| 2 | 505, 943, 379, 442, 170 |
| 5 | 505, 943, 379, 221, 85 |
| 17 | 101, 943, 379, 221, 17 |
| 101, 943, 379, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 101 x 943 x 379 x 13 x 1 = 79774584370
Therefore, the lowest common multiple of 505,943,379,442,170 is 79774584370.
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.
505 x 943 x 379 x 442 x 170 = 13561679342900
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.
505 : 1, 5, 101, 505
943 : 1, 23, 41, 943
379 : 1, 379
442 : 1, 2, 13, 17, 26, 34, 221, 442
170 : 1, 2, 5, 10, 17, 34, 85, 170
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,943,379,442,170, is 1.
Now, the common factors can be found like this.
505:5x 101
943:23x 41
379:379
442:2x 13x 17
170:2x 5x 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 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 13561679342900/(1x170)
LCM = 13561679342900/170
LCM = 79774584370
Thus, we can understand that the LCM of 505,943,379,442,170 is 79774584370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 505, 943, 379, 442, 170
1. What is the LCM of 505, 943, 379, 442, 170?
Answer: LCM of 505, 943, 379, 442, 170 is 79774584370.
2. How to calculate the LCM of 505, 943, 379, 442, 170?
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 505, 943, 379, 442, 170.
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}.