LCM of 407, 268, 978, 231, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 407, 268, 978, 231, 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 407, 268, 978, 231, 899. So, keep reading to learn more.
Given numbers are 407,268,978,231,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,268,978,231,899 is 335657066052.
Find LCM of 407,268,978,231,899 with Prime Factorization
| 2 | 407, 268, 978, 231, 899 |
| 3 | 407, 134, 489, 231, 899 |
| 11 | 407, 134, 163, 77, 899 |
| 37, 134, 163, 7, 899 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 134 x 163 x 7 x 899 = 335657066052
Therefore, the lowest common multiple of 407,268,978,231,899 is 335657066052.
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.
407 x 268 x 978 x 231 x 899 = 22153366359432
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.
407 : 1, 11, 37, 407
268 : 1, 2, 4, 67, 134, 268
978 : 1, 2, 3, 6, 163, 326, 489, 978
231 : 1, 3, 7, 11, 21, 33, 77, 231
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,268,978,231,899, is 1.
Now, the common factors can be found like this.
407:11x 37
268:2x 2x 67
978:2x 3x 163
231:3x 7x 11
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 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 22153366359432/(1x66)
LCM = 22153366359432/66
LCM = 335657066052
Thus, we can understand that the LCM of 407,268,978,231,899 is 335657066052.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 407, 268, 978, 231, 899
1. What is the LCM of 407, 268, 978, 231, 899?
Answer: LCM of 407, 268, 978, 231, 899 is 335657066052.
2. How to calculate the LCM of 407, 268, 978, 231, 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 407, 268, 978, 231, 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}.