LCM of 252, 836, 884, 731, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 252, 836, 884, 731, 663 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 252, 836, 884, 731, 663. So, keep reading to learn more.
Given numbers are 252,836,884,731,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 252,836,884,731,663 is 500504004.
Find LCM of 252,836,884,731,663 with Prime Factorization
| 2 | 252, 836, 884, 731, 663 |
| 2 | 126, 418, 442, 731, 663 |
| 3 | 63, 209, 221, 731, 663 |
| 13 | 21, 209, 221, 731, 221 |
| 17 | 21, 209, 17, 731, 17 |
| 21, 209, 1, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 21 x 209 x 1 x 43 x 1 = 500504004
Therefore, the lowest common multiple of 252,836,884,731,663 is 500504004.
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.
252 x 836 x 884 x 731 x 663 = 90258890065344
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.
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
731 : 1, 17, 43, 731
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,836,884,731,663, is 1.
Now, the common factors can be found like this.
252:2x 2x 3x 3x 7
836:2x 2x 11x 19
884:2x 2x 13x 17
731:17x 43
663:3x 13x 17
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 3x 13x 17x 17 = 180336
Therefore, the value for common factors is 180336.
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 = 90258890065344/(1x180336)
LCM = 90258890065344/180336
LCM = 500504004
Thus, we can understand that the LCM of 252,836,884,731,663 is 500504004.
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FAQs on LCM of 252, 836, 884, 731, 663
1. What is the LCM of 252, 836, 884, 731, 663?
Answer: LCM of 252, 836, 884, 731, 663 is 500504004.
2. How to calculate the LCM of 252, 836, 884, 731, 663?
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 252, 836, 884, 731, 663.
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}.