LCM of 258, 490, 492, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 490, 492, 900 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, 490, 492, 900. So, keep reading to learn more.
Given numbers are 258,490,492,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,490,492,900 is 77748300.
Find LCM of 258,490,492,900 with Prime Factorization
| 2 | 258, 490, 492, 900 |
| 2 | 129, 245, 246, 450 |
| 3 | 129, 245, 123, 225 |
| 5 | 43, 245, 41, 75 |
| 43, 49, 41, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 43 x 49 x 41 x 15 = 77748300
Therefore, the lowest common multiple of 258,490,492,900 is 77748300.
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 490 x 492 x 900 = 55978776000
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
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,490,492,900, is 2.
Now, the common factors can be found like this.
258:2x 3x 43
490:2x 5x 7x 7
492:2x 2x 3x 41
900:2x 2x 3x 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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 55978776000/(2x360)
LCM = 55978776000/720
LCM = 77748300
Thus, we can understand that the LCM of 258,490,492,900 is 77748300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 258, 490, 492, 900
1. What is the LCM of 258, 490, 492, 900?
Answer: LCM of 258, 490, 492, 900 is 77748300.
2. How to calculate the LCM of 258, 490, 492, 900?
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, 490, 492, 900.
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}.