LCM of 834, 598, 399, 598, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 598, 399, 598, 510 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 834, 598, 399, 598, 510. So, keep reading to learn more.
Given numbers are 834,598,399,598,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,598,399,598,510 is 2819082630.
Find LCM of 834,598,399,598,510 with Prime Factorization
| 2 | 834, 598, 399, 598, 510 |
| 3 | 417, 299, 399, 299, 255 |
| 13 | 139, 299, 133, 299, 85 |
| 23 | 139, 23, 133, 23, 85 |
| 139, 1, 133, 1, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 139 x 1 x 133 x 1 x 85 = 2819082630
Therefore, the lowest common multiple of 834,598,399,598,510 is 2819082630.
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.
834 x 598 x 399 x 598 x 510 = 60689210858640
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
598 : 1, 2, 13, 23, 26, 46, 299, 598
399 : 1, 3, 7, 19, 21, 57, 133, 399
598 : 1, 2, 13, 23, 26, 46, 299, 598
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,598,399,598,510, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
598:2x 13x 23
399:3x 7x 19
598:2x 13x 23
510:2x 3x 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 2x 3x 3x 13x 23 = 21528
Therefore, the value for common factors is 21528.
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 = 60689210858640/(1x21528)
LCM = 60689210858640/21528
LCM = 2819082630
Thus, we can understand that the LCM of 834,598,399,598,510 is 2819082630.
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FAQs on LCM of 834, 598, 399, 598, 510
1. What is the LCM of 834, 598, 399, 598, 510?
Answer: LCM of 834, 598, 399, 598, 510 is 2819082630.
2. How to calculate the LCM of 834, 598, 399, 598, 510?
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 834, 598, 399, 598, 510.
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}.