LCM of 748, 799, 309, 235, 395
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 799, 309, 235, 395 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 748, 799, 309, 235, 395. So, keep reading to learn more.
Given numbers are 748,799,309,235,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,799,309,235,395 is 4290965580.
Find LCM of 748,799,309,235,395 with Prime Factorization
| 5 | 748, 799, 309, 235, 395 |
| 17 | 748, 799, 309, 47, 79 |
| 47 | 44, 47, 309, 47, 79 |
| 44, 1, 309, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
5 x 17 x 47 x 44 x 1 x 309 x 1 x 79 = 4290965580
Therefore, the lowest common multiple of 748,799,309,235,395 is 4290965580.
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.
748 x 799 x 309 x 235 x 395 = 17142407492100
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
799 : 1, 17, 47, 799
309 : 1, 3, 103, 309
235 : 1, 5, 47, 235
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,799,309,235,395, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
799:17x 47
309:3x 103
235:5x 47
395:5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 17x 47 = 3995
Therefore, the value for common factors is 3995.
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 = 17142407492100/(1x3995)
LCM = 17142407492100/3995
LCM = 4290965580
Thus, we can understand that the LCM of 748,799,309,235,395 is 4290965580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 748, 799, 309, 235, 395
1. What is the LCM of 748, 799, 309, 235, 395?
Answer: LCM of 748, 799, 309, 235, 395 is 4290965580.
2. How to calculate the LCM of 748, 799, 309, 235, 395?
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 748, 799, 309, 235, 395.
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}.