LCM of 416, 754, 442, 170
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 754, 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 416, 754, 442, 170. So, keep reading to learn more.
Given numbers are 416,754,442,170
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,754,442,170 is 1025440.
Find LCM of 416,754,442,170 with Prime Factorization
| 2 | 416, 754, 442, 170 |
| 13 | 208, 377, 221, 85 |
| 17 | 16, 29, 17, 85 |
| 16, 29, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 16 x 29 x 1 x 5 = 1025440
Therefore, the lowest common multiple of 416,754,442,170 is 1025440.
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.
416 x 754 x 442 x 170 = 23568712960
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
754 : 1, 2, 13, 26, 29, 58, 377, 754
442 : 1, 2, 13, 17, 26, 34, 221, 442
170 : 1, 2, 5, 10, 17, 34, 85, 170
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,754,442,170, is 2.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
754:2x 13x 29
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 2x 13x 13x 17 = 11492
Therefore, the value for common factors is 11492.
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 = 23568712960/(2x11492)
LCM = 23568712960/22984
LCM = 1025440
Thus, we can understand that the LCM of 416,754,442,170 is 1025440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 416, 754, 442, 170
1. What is the LCM of 416, 754, 442, 170?
Answer: LCM of 416, 754, 442, 170 is 1025440.
2. How to calculate the LCM of 416, 754, 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 416, 754, 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}.