LCM of 374, 416, 144, 505
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 416, 144, 505 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 374, 416, 144, 505. So, keep reading to learn more.
Given numbers are 374,416,144,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,416,144,505 is 353564640.
Find LCM of 374,416,144,505 with Prime Factorization
| 2 | 374, 416, 144, 505 |
| 2 | 187, 208, 72, 505 |
| 2 | 187, 104, 36, 505 |
| 2 | 187, 52, 18, 505 |
| 187, 26, 9, 505 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 187 x 26 x 9 x 505 = 353564640
Therefore, the lowest common multiple of 374,416,144,505 is 353564640.
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.
374 x 416 x 144 x 505 = 11314068480
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,416,144,505, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
416:2x 2x 2x 2x 2x 13
144:2x 2x 2x 2x 3x 3
505:5x 101
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 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 11314068480/(1x32)
LCM = 11314068480/32
LCM = 353564640
Thus, we can understand that the LCM of 374,416,144,505 is 353564640.
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FAQs on LCM of 374, 416, 144, 505
1. What is the LCM of 374, 416, 144, 505?
Answer: LCM of 374, 416, 144, 505 is 353564640.
2. How to calculate the LCM of 374, 416, 144, 505?
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 374, 416, 144, 505.
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}.