LCM of 382, 460, 490, 882
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 460, 490, 882 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, 460, 490, 882. So, keep reading to learn more.
Given numbers are 382,460,490,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,460,490,882 is 38746260.
Find LCM of 382,460,490,882 with Prime Factorization
| 2 | 382, 460, 490, 882 |
| 5 | 191, 230, 245, 441 |
| 7 | 191, 46, 49, 441 |
| 7 | 191, 46, 7, 63 |
| 191, 46, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 191 x 46 x 1 x 9 = 38746260
Therefore, the lowest common multiple of 382,460,490,882 is 38746260.
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 460 x 490 x 882 = 75942669600
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
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,460,490,882, is 2.
Now, the common factors can be found like this.
382:2x 191
460:2x 2x 5x 23
490:2x 5x 7x 7
882:2x 3x 3x 7x 7
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 5x 7x 7 = 980
Therefore, the value for common factors is 980.
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 = 75942669600/(2x980)
LCM = 75942669600/1960
LCM = 38746260
Thus, we can understand that the LCM of 382,460,490,882 is 38746260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 382, 460, 490, 882
1. What is the LCM of 382, 460, 490, 882?
Answer: LCM of 382, 460, 490, 882 is 38746260.
2. How to calculate the LCM of 382, 460, 490, 882?
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, 460, 490, 882.
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}.