LCM of 449, 956, 978, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 956, 978, 447 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 449, 956, 978, 447. So, keep reading to learn more.
Given numbers are 449,956,978,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,956,978,447 is 31275147084.
Find LCM of 449,956,978,447 with Prime Factorization
| 2 | 449, 956, 978, 447 |
| 3 | 449, 478, 489, 447 |
| 449, 478, 163, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 449 x 478 x 163 x 149 = 31275147084
Therefore, the lowest common multiple of 449,956,978,447 is 31275147084.
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.
449 x 956 x 978 x 447 = 187650882504
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.
449 : 1, 449
956 : 1, 2, 4, 239, 478, 956
978 : 1, 2, 3, 6, 163, 326, 489, 978
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,956,978,447, is 1.
Now, the common factors can be found like this.
449:449
956:2x 2x 239
978:2x 3x 163
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 187650882504/(1x6)
LCM = 187650882504/6
LCM = 31275147084
Thus, we can understand that the LCM of 449,956,978,447 is 31275147084.
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FAQs on LCM of 449, 956, 978, 447
1. What is the LCM of 449, 956, 978, 447?
Answer: LCM of 449, 956, 978, 447 is 31275147084.
2. How to calculate the LCM of 449, 956, 978, 447?
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 449, 956, 978, 447.
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}.