LCM of 290, 858, 338, 715, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 290, 858, 338, 715, 416 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 290, 858, 338, 715, 416. So, keep reading to learn more.
Given numbers are 290,858,338,715,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 290,858,338,715,416 is 25877280.
Find LCM of 290,858,338,715,416 with Prime Factorization
| 2 | 290, 858, 338, 715, 416 |
| 5 | 145, 429, 169, 715, 208 |
| 11 | 29, 429, 169, 143, 208 |
| 13 | 29, 39, 169, 13, 208 |
| 29, 3, 1, 13, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 13 x 29 x 3 x 1 x 13 x 16 = 25877280
Therefore, the lowest common multiple of 290,858,338,715,416 is 25877280.
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.
290 x 858 x 338 x 715 x 416 = 25015049030400
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.
290 : 1, 2, 5, 10, 29, 58, 145, 290
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
338 : 1, 2, 13, 26, 169, 338
715 : 1, 5, 11, 13, 55, 65, 143, 715
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,858,338,715,416, is 1.
Now, the common factors can be found like this.
290:2x 5x 29
858:2x 3x 11x 13
338:2x 13x 13
715:5x 11x 13
416:2x 2x 2x 2x 2x 13
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 5x 11x 13x 13x 13 = 966680
Therefore, the value for common factors is 966680.
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 = 25015049030400/(1x966680)
LCM = 25015049030400/966680
LCM = 25877280
Thus, we can understand that the LCM of 290,858,338,715,416 is 25877280.
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FAQs on LCM of 290, 858, 338, 715, 416
1. What is the LCM of 290, 858, 338, 715, 416?
Answer: LCM of 290, 858, 338, 715, 416 is 25877280.
2. How to calculate the LCM of 290, 858, 338, 715, 416?
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 290, 858, 338, 715, 416.
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}.