LCM of 157, 998, 227, 252, 681
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 157, 998, 227, 252, 681 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 157, 998, 227, 252, 681. So, keep reading to learn more.
Given numbers are 157,998,227,252,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,998,227,252,681 is 4481532972.
Find LCM of 157,998,227,252,681 with Prime Factorization
| 2 | 157, 998, 227, 252, 681 |
| 3 | 157, 499, 227, 126, 681 |
| 227 | 157, 499, 227, 42, 227 |
| 157, 499, 1, 42, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 227 x 157 x 499 x 1 x 42 x 1 = 4481532972
Therefore, the lowest common multiple of 157,998,227,252,681 is 4481532972.
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.
157 x 998 x 227 x 252 x 681 = 6103847907864
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.
157 : 1, 157
998 : 1, 2, 499, 998
227 : 1, 227
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,998,227,252,681, is 1.
Now, the common factors can be found like this.
157:157
998:2x 499
227:227
252:2x 2x 3x 3x 7
681:3x 227
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 227 = 1362
Therefore, the value for common factors is 1362.
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 = 6103847907864/(1x1362)
LCM = 6103847907864/1362
LCM = 4481532972
Thus, we can understand that the LCM of 157,998,227,252,681 is 4481532972.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 157, 998, 227, 252, 681
1. What is the LCM of 157, 998, 227, 252, 681?
Answer: LCM of 157, 998, 227, 252, 681 is 4481532972.
2. How to calculate the LCM of 157, 998, 227, 252, 681?
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 157, 998, 227, 252, 681.
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}.