LCM of 382, 910, 492, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 910, 492, 820 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 382, 910, 492, 820. So, keep reading to learn more.
Given numbers are 382,910,492,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,910,492,820 is 42757260.
Find LCM of 382,910,492,820 with Prime Factorization
| 2 | 382, 910, 492, 820 |
| 2 | 191, 455, 246, 410 |
| 5 | 191, 455, 123, 205 |
| 41 | 191, 91, 123, 41 |
| 191, 91, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 41 x 191 x 91 x 3 x 1 = 42757260
Therefore, the lowest common multiple of 382,910,492,820 is 42757260.
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.
382 x 910 x 492 x 820 = 140243812800
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.
382 : 1, 2, 191, 382
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,910,492,820, is 2.
Now, the common factors can be found like this.
382:2x 191
910:2x 5x 7x 13
492:2x 2x 3x 41
820:2x 2x 5x 41
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 5x 41 = 1640
Therefore, the value for common factors is 1640.
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 = 140243812800/(2x1640)
LCM = 140243812800/3280
LCM = 42757260
Thus, we can understand that the LCM of 382,910,492,820 is 42757260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 382, 910, 492, 820
1. What is the LCM of 382, 910, 492, 820?
Answer: LCM of 382, 910, 492, 820 is 42757260.
2. How to calculate the LCM of 382, 910, 492, 820?
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 382, 910, 492, 820.
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}.