LCM of 246, 858, 814, 435, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 246, 858, 814, 435, 513 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 246, 858, 814, 435, 513. So, keep reading to learn more.
Given numbers are 246,858,814,435,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 246,858,814,435,513 is 32272824870.
Find LCM of 246,858,814,435,513 with Prime Factorization
| 2 | 246, 858, 814, 435, 513 |
| 3 | 123, 429, 407, 435, 513 |
| 11 | 41, 143, 407, 145, 171 |
| 41, 13, 37, 145, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 41 x 13 x 37 x 145 x 171 = 32272824870
Therefore, the lowest common multiple of 246,858,814,435,513 is 32272824870.
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.
246 x 858 x 814 x 435 x 513 = 38340115945560
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.
246 : 1, 2, 3, 6, 41, 82, 123, 246
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
814 : 1, 2, 11, 22, 37, 74, 407, 814
435 : 1, 3, 5, 15, 29, 87, 145, 435
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,858,814,435,513, is 1.
Now, the common factors can be found like this.
246:2x 3x 41
858:2x 3x 11x 13
814:2x 11x 37
435:3x 5x 29
513:3x 3x 3x 19
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 3x 3x 3x 11 = 1188
Therefore, the value for common factors is 1188.
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 = 38340115945560/(1x1188)
LCM = 38340115945560/1188
LCM = 32272824870
Thus, we can understand that the LCM of 246,858,814,435,513 is 32272824870.
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FAQs on LCM of 246, 858, 814, 435, 513
1. What is the LCM of 246, 858, 814, 435, 513?
Answer: LCM of 246, 858, 814, 435, 513 is 32272824870.
2. How to calculate the LCM of 246, 858, 814, 435, 513?
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 246, 858, 814, 435, 513.
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}.