LCM of 258, 505, 956, 492, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 505, 956, 492, 540 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 258, 505, 956, 492, 540. So, keep reading to learn more.
Given numbers are 258,505,956,492,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,505,956,492,540 is 22980810780.
Find LCM of 258,505,956,492,540 with Prime Factorization
| 2 | 258, 505, 956, 492, 540 |
| 2 | 129, 505, 478, 246, 270 |
| 3 | 129, 505, 239, 123, 135 |
| 5 | 43, 505, 239, 41, 45 |
| 43, 101, 239, 41, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 43 x 101 x 239 x 41 x 9 = 22980810780
Therefore, the lowest common multiple of 258,505,956,492,540 is 22980810780.
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.
258 x 505 x 956 x 492 x 540 = 33092367523200
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
505 : 1, 5, 101, 505
956 : 1, 2, 4, 239, 478, 956
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,505,956,492,540, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
505:5x 101
956:2x 2x 239
492:2x 2x 3x 41
540:2x 2x 3x 3x 3x 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 2x 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 33092367523200/(1x1440)
LCM = 33092367523200/1440
LCM = 22980810780
Thus, we can understand that the LCM of 258,505,956,492,540 is 22980810780.
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FAQs on LCM of 258, 505, 956, 492, 540
1. What is the LCM of 258, 505, 956, 492, 540?
Answer: LCM of 258, 505, 956, 492, 540 is 22980810780.
2. How to calculate the LCM of 258, 505, 956, 492, 540?
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 258, 505, 956, 492, 540.
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}.