LCM of 631, 286, 308, 741, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 631, 286, 308, 741, 266 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 631, 286, 308, 741, 266. So, keep reading to learn more.
Given numbers are 631,286,308,741,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 631,286,308,741,266 is 144011868.
Find LCM of 631,286,308,741,266 with Prime Factorization
| 2 | 631, 286, 308, 741, 266 |
| 7 | 631, 143, 154, 741, 133 |
| 11 | 631, 143, 22, 741, 19 |
| 13 | 631, 13, 2, 741, 19 |
| 19 | 631, 1, 2, 57, 19 |
| 631, 1, 2, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 13 x 19 x 631 x 1 x 2 x 3 x 1 = 144011868
Therefore, the lowest common multiple of 631,286,308,741,266 is 144011868.
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.
631 x 286 x 308 x 741 x 266 = 10955846869968
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.
631 : 1, 631
286 : 1, 2, 11, 13, 22, 26, 143, 286
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
741 : 1, 3, 13, 19, 39, 57, 247, 741
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 631,286,308,741,266, is 1.
Now, the common factors can be found like this.
631:631
286:2x 11x 13
308:2x 2x 7x 11
741:3x 13x 19
266:2x 7x 19
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 7x 11x 13x 19 = 76076
Therefore, the value for common factors is 76076.
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 = 10955846869968/(1x76076)
LCM = 10955846869968/76076
LCM = 144011868
Thus, we can understand that the LCM of 631,286,308,741,266 is 144011868.
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FAQs on LCM of 631, 286, 308, 741, 266
1. What is the LCM of 631, 286, 308, 741, 266?
Answer: LCM of 631, 286, 308, 741, 266 is 144011868.
2. How to calculate the LCM of 631, 286, 308, 741, 266?
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 631, 286, 308, 741, 266.
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}.