LCM of 882, 442, 621, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 882, 442, 621, 546 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 882, 442, 621, 546. So, keep reading to learn more.
Given numbers are 882,442,621,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,442,621,546 is 13449618.
Find LCM of 882,442,621,546 with Prime Factorization
| 2 | 882, 442, 621, 546 |
| 3 | 441, 221, 621, 273 |
| 3 | 147, 221, 207, 91 |
| 7 | 49, 221, 69, 91 |
| 13 | 7, 221, 69, 13 |
| 7, 17, 69, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 13 x 7 x 17 x 69 x 1 = 13449618
Therefore, the lowest common multiple of 882,442,621,546 is 13449618.
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.
882 x 442 x 621 x 546 = 132182845704
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
442 : 1, 2, 13, 17, 26, 34, 221, 442
621 : 1, 3, 9, 23, 27, 69, 207, 621
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,442,621,546, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
442:2x 13x 17
621:3x 3x 3x 23
546:2x 3x 7x 13
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 3x 3x 3x 7x 13 = 9828
Therefore, the value for common factors is 9828.
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 = 132182845704/(1x9828)
LCM = 132182845704/9828
LCM = 13449618
Thus, we can understand that the LCM of 882,442,621,546 is 13449618.
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FAQs on LCM of 882, 442, 621, 546
1. What is the LCM of 882, 442, 621, 546?
Answer: LCM of 882, 442, 621, 546 is 13449618.
2. How to calculate the LCM of 882, 442, 621, 546?
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 882, 442, 621, 546.
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}.