LCM of 259, 858, 724, 418, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 858, 724, 418, 300 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 259, 858, 724, 418, 300. So, keep reading to learn more.
Given numbers are 259,858,724,418,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,858,724,418,300 is 38211072900.
Find LCM of 259,858,724,418,300 with Prime Factorization
| 2 | 259, 858, 724, 418, 300 |
| 2 | 259, 429, 362, 209, 150 |
| 3 | 259, 429, 181, 209, 75 |
| 11 | 259, 143, 181, 209, 25 |
| 259, 13, 181, 19, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 259 x 13 x 181 x 19 x 25 = 38211072900
Therefore, the lowest common multiple of 259,858,724,418,300 is 38211072900.
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.
259 x 858 x 724 x 418 x 300 = 20175446491200
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.
259 : 1, 7, 37, 259
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
724 : 1, 2, 4, 181, 362, 724
418 : 1, 2, 11, 19, 22, 38, 209, 418
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,858,724,418,300, is 1.
Now, the common factors can be found like this.
259:7x 37
858:2x 3x 11x 13
724:2x 2x 181
418:2x 11x 19
300:2x 2x 3x 5x 5
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 2x 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 20175446491200/(1x528)
LCM = 20175446491200/528
LCM = 38211072900
Thus, we can understand that the LCM of 259,858,724,418,300 is 38211072900.
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FAQs on LCM of 259, 858, 724, 418, 300
1. What is the LCM of 259, 858, 724, 418, 300?
Answer: LCM of 259, 858, 724, 418, 300 is 38211072900.
2. How to calculate the LCM of 259, 858, 724, 418, 300?
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 259, 858, 724, 418, 300.
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}.