LCM of 492, 570, 168, 456, 813
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 492, 570, 168, 456, 813 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, 570, 168, 456, 813. So, keep reading to learn more.
Given numbers are 492,570,168,456,813
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,570,168,456,813 is 177331560.
Find LCM of 492,570,168,456,813 with Prime Factorization
| 2 | 492, 570, 168, 456, 813 |
| 2 | 246, 285, 84, 228, 813 |
| 2 | 123, 285, 42, 114, 813 |
| 3 | 123, 285, 21, 57, 813 |
| 19 | 41, 95, 7, 19, 271 |
| 41, 5, 7, 1, 271 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 41 x 5 x 7 x 1 x 271 = 177331560
Therefore, the lowest common multiple of 492,570,168,456,813 is 177331560.
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 570 x 168 x 456 x 813 = 17466449333760
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
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
813 : 1, 3, 271, 813
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,570,168,456,813, is 3.
Now, the common factors can be found like this.
492:2x 2x 3x 41
570:2x 3x 5x 19
168:2x 2x 2x 3x 7
456:2x 2x 2x 3x 19
813:3x 271
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 2x 3x 3x 3x 19 = 32832
Therefore, the value for common factors is 32832.
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 = 17466449333760/(3x32832)
LCM = 17466449333760/98496
LCM = 177331560
Thus, we can understand that the LCM of 492,570,168,456,813 is 177331560.
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FAQs on LCM of 492, 570, 168, 456, 813
1. What is the LCM of 492, 570, 168, 456, 813?
Answer: LCM of 492, 570, 168, 456, 813 is 177331560.
2. How to calculate the LCM of 492, 570, 168, 456, 813?
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, 570, 168, 456, 813.
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}.