LCM of 858, 949, 682, 598, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 858, 949, 682, 598, 598 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 858, 949, 682, 598, 598. So, keep reading to learn more.
Given numbers are 858,949,682,598,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 858,949,682,598,598 is 44658042.
Find LCM of 858,949,682,598,598 with Prime Factorization
| 2 | 858, 949, 682, 598, 598 |
| 11 | 429, 949, 341, 299, 299 |
| 13 | 39, 949, 31, 299, 299 |
| 23 | 3, 73, 31, 23, 23 |
| 3, 73, 31, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 23 x 3 x 73 x 31 x 1 x 1 = 44658042
Therefore, the lowest common multiple of 858,949,682,598,598 is 44658042.
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.
858 x 949 x 682 x 598 x 598 = 198582165786576
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.
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
949 : 1, 13, 73, 949
682 : 1, 2, 11, 22, 31, 62, 341, 682
598 : 1, 2, 13, 23, 26, 46, 299, 598
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,949,682,598,598, is 1.
Now, the common factors can be found like this.
858:2x 3x 11x 13
949:13x 73
682:2x 11x 31
598:2x 13x 23
598:2x 13x 23
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 11x 13x 13x 13x 23 = 4446728
Therefore, the value for common factors is 4446728.
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 = 198582165786576/(1x4446728)
LCM = 198582165786576/4446728
LCM = 44658042
Thus, we can understand that the LCM of 858,949,682,598,598 is 44658042.
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FAQs on LCM of 858, 949, 682, 598, 598
1. What is the LCM of 858, 949, 682, 598, 598?
Answer: LCM of 858, 949, 682, 598, 598 is 44658042.
2. How to calculate the LCM of 858, 949, 682, 598, 598?
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 858, 949, 682, 598, 598.
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}.