LCM of 799, 743, 306, 253, 376
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 743, 306, 253, 376 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 799, 743, 306, 253, 376. So, keep reading to learn more.
Given numbers are 799,743,306,253,376
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,743,306,253,376 is 10814055912.
Find LCM of 799,743,306,253,376 with Prime Factorization
| 2 | 799, 743, 306, 253, 376 |
| 17 | 799, 743, 153, 253, 188 |
| 47 | 47, 743, 9, 253, 188 |
| 1, 743, 9, 253, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 47 x 1 x 743 x 9 x 253 x 4 = 10814055912
Therefore, the lowest common multiple of 799,743,306,253,376 is 10814055912.
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.
799 x 743 x 306 x 253 x 376 = 17280861347376
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.
799 : 1, 17, 47, 799
743 : 1, 743
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
253 : 1, 11, 23, 253
376 : 1, 2, 4, 8, 47, 94, 188, 376
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,743,306,253,376, is 1.
Now, the common factors can be found like this.
799:17x 47
743:743
306:2x 3x 3x 17
253:11x 23
376:2x 2x 2x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17x 47 = 1598
Therefore, the value for common factors is 1598.
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 = 17280861347376/(1x1598)
LCM = 17280861347376/1598
LCM = 10814055912
Thus, we can understand that the LCM of 799,743,306,253,376 is 10814055912.
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FAQs on LCM of 799, 743, 306, 253, 376
1. What is the LCM of 799, 743, 306, 253, 376?
Answer: LCM of 799, 743, 306, 253, 376 is 10814055912.
2. How to calculate the LCM of 799, 743, 306, 253, 376?
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 799, 743, 306, 253, 376.
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}.