LCM of 492, 290, 585, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 290, 585, 467 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 492, 290, 585, 467. So, keep reading to learn more.
Given numbers are 492,290,585,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,290,585,467 is 1299315420.
Find LCM of 492,290,585,467 with Prime Factorization
| 2 | 492, 290, 585, 467 |
| 3 | 246, 145, 585, 467 |
| 5 | 82, 145, 195, 467 |
| 82, 29, 39, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 82 x 29 x 39 x 467 = 1299315420
Therefore, the lowest common multiple of 492,290,585,467 is 1299315420.
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.
492 x 290 x 585 x 467 = 38979462600
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
290 : 1, 2, 5, 10, 29, 58, 145, 290
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,290,585,467, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
290:2x 5x 29
585:3x 3x 5x 13
467:467
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 38979462600/(1x30)
LCM = 38979462600/30
LCM = 1299315420
Thus, we can understand that the LCM of 492,290,585,467 is 1299315420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 492, 290, 585, 467
1. What is the LCM of 492, 290, 585, 467?
Answer: LCM of 492, 290, 585, 467 is 1299315420.
2. How to calculate the LCM of 492, 290, 585, 467?
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 492, 290, 585, 467.
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}.