LCM of 588, 108, 308, 898, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 108, 308, 898, 733 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 588, 108, 308, 898, 733. So, keep reading to learn more.
Given numbers are 588,108,308,898,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,108,308,898,733 is 19158558804.
Find LCM of 588,108,308,898,733 with Prime Factorization
| 2 | 588, 108, 308, 898, 733 |
| 2 | 294, 54, 154, 449, 733 |
| 3 | 147, 27, 77, 449, 733 |
| 7 | 49, 9, 77, 449, 733 |
| 7, 9, 11, 449, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 9 x 11 x 449 x 733 = 19158558804
Therefore, the lowest common multiple of 588,108,308,898,733 is 19158558804.
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.
588 x 108 x 308 x 898 x 733 = 12874551516288
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
898 : 1, 2, 449, 898
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,108,308,898,733, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
108:2x 2x 3x 3x 3
308:2x 2x 7x 11
898:2x 449
733:733
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 2x 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 12874551516288/(1x672)
LCM = 12874551516288/672
LCM = 19158558804
Thus, we can understand that the LCM of 588,108,308,898,733 is 19158558804.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 588, 108, 308, 898, 733
1. What is the LCM of 588, 108, 308, 898, 733?
Answer: LCM of 588, 108, 308, 898, 733 is 19158558804.
2. How to calculate the LCM of 588, 108, 308, 898, 733?
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 588, 108, 308, 898, 733.
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}.