LCM of 349, 350, 496, 434, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 349, 350, 496, 434, 899 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 349, 350, 496, 434, 899. So, keep reading to learn more.
Given numbers are 349,350,496,434,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,350,496,434,899 is 878502800.
Find LCM of 349,350,496,434,899 with Prime Factorization
| 2 | 349, 350, 496, 434, 899 |
| 7 | 349, 175, 248, 217, 899 |
| 31 | 349, 25, 248, 31, 899 |
| 349, 25, 8, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 31 x 349 x 25 x 8 x 1 x 29 = 878502800
Therefore, the lowest common multiple of 349,350,496,434,899 is 878502800.
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.
349 x 350 x 496 x 434 x 899 = 23638753342400
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.
349 : 1, 349
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
434 : 1, 2, 7, 14, 31, 62, 217, 434
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,350,496,434,899, is 1.
Now, the common factors can be found like this.
349:349
350:2x 5x 5x 7
496:2x 2x 2x 2x 31
434:2x 7x 31
899:29x 31
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 7x 31x 31 = 26908
Therefore, the value for common factors is 26908.
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 = 23638753342400/(1x26908)
LCM = 23638753342400/26908
LCM = 878502800
Thus, we can understand that the LCM of 349,350,496,434,899 is 878502800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 349, 350, 496, 434, 899
1. What is the LCM of 349, 350, 496, 434, 899?
Answer: LCM of 349, 350, 496, 434, 899 is 878502800.
2. How to calculate the LCM of 349, 350, 496, 434, 899?
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 349, 350, 496, 434, 899.
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}.