LCM of 462, 241, 308, 807
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 241, 308, 807 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 462, 241, 308, 807. So, keep reading to learn more.
Given numbers are 462,241,308,807
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,241,308,807 is 59901996.
Find LCM of 462,241,308,807 with Prime Factorization
| 2 | 462, 241, 308, 807 |
| 3 | 231, 241, 154, 807 |
| 7 | 77, 241, 154, 269 |
| 11 | 11, 241, 22, 269 |
| 1, 241, 2, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 1 x 241 x 2 x 269 = 59901996
Therefore, the lowest common multiple of 462,241,308,807 is 59901996.
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.
462 x 241 x 308 x 807 = 27674722152
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
241 : 1, 241
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
807 : 1, 3, 269, 807
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,241,308,807, is 1.
Now, the common factors can be found like this.
462:2x 3x 7x 11
241:241
308:2x 2x 7x 11
807:3x 269
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 27674722152/(1x462)
LCM = 27674722152/462
LCM = 59901996
Thus, we can understand that the LCM of 462,241,308,807 is 59901996.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 462, 241, 308, 807
1. What is the LCM of 462, 241, 308, 807?
Answer: LCM of 462, 241, 308, 807 is 59901996.
2. How to calculate the LCM of 462, 241, 308, 807?
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 462, 241, 308, 807.
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}.