LCM of 261, 841, 490, 996, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 261, 841, 490, 996, 894 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 261, 841, 490, 996, 894. So, keep reading to learn more.
Given numbers are 261,841,490,996,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 261,841,490,996,894 is 91733706540.
Find LCM of 261,841,490,996,894 with Prime Factorization
| 2 | 261, 841, 490, 996, 894 |
| 3 | 261, 841, 245, 498, 447 |
| 29 | 87, 841, 245, 166, 149 |
| 3, 29, 245, 166, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 3 x 29 x 245 x 166 x 149 = 91733706540
Therefore, the lowest common multiple of 261,841,490,996,894 is 91733706540.
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.
261 x 841 x 490 x 996 x 894 = 95769989627760
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.
261 : 1, 3, 9, 29, 87, 261
841 : 1, 29, 841
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,841,490,996,894, is 1.
Now, the common factors can be found like this.
261:3x 3x 29
841:29x 29
490:2x 5x 7x 7
996:2x 2x 3x 83
894:2x 3x 149
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 29 = 1044
Therefore, the value for common factors is 1044.
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 = 95769989627760/(1x1044)
LCM = 95769989627760/1044
LCM = 91733706540
Thus, we can understand that the LCM of 261,841,490,996,894 is 91733706540.
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FAQs on LCM of 261, 841, 490, 996, 894
1. What is the LCM of 261, 841, 490, 996, 894?
Answer: LCM of 261, 841, 490, 996, 894 is 91733706540.
2. How to calculate the LCM of 261, 841, 490, 996, 894?
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 261, 841, 490, 996, 894.
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}.