LCM of 187, 442, 416, 123, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 442, 416, 123, 369 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 187, 442, 416, 123, 369. So, keep reading to learn more.
Given numbers are 187,442,416,123,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,442,416,123,369 is 28705248.
Find LCM of 187,442,416,123,369 with Prime Factorization
| 2 | 187, 442, 416, 123, 369 |
| 3 | 187, 221, 208, 123, 369 |
| 13 | 187, 221, 208, 41, 123 |
| 17 | 187, 17, 16, 41, 123 |
| 41 | 11, 1, 16, 41, 123 |
| 11, 1, 16, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 41 x 11 x 1 x 16 x 1 x 3 = 28705248
Therefore, the lowest common multiple of 187,442,416,123,369 is 28705248.
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.
187 x 442 x 416 x 123 x 369 = 1560589512768
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.
187 : 1, 11, 17, 187
442 : 1, 2, 13, 17, 26, 34, 221, 442
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
123 : 1, 3, 41, 123
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,442,416,123,369, is 1.
Now, the common factors can be found like this.
187:11x 17
442:2x 13x 17
416:2x 2x 2x 2x 2x 13
123:3x 41
369:3x 3x 41
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 13x 17x 41 = 54366
Therefore, the value for common factors is 54366.
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 = 1560589512768/(1x54366)
LCM = 1560589512768/54366
LCM = 28705248
Thus, we can understand that the LCM of 187,442,416,123,369 is 28705248.
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FAQs on LCM of 187, 442, 416, 123, 369
1. What is the LCM of 187, 442, 416, 123, 369?
Answer: LCM of 187, 442, 416, 123, 369 is 28705248.
2. How to calculate the LCM of 187, 442, 416, 123, 369?
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 187, 442, 416, 123, 369.
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}.