LCM of 105, 834, 978, 486, 919
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 834, 978, 486, 919 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 105, 834, 978, 486, 919. So, keep reading to learn more.
Given numbers are 105,834,978,486,919
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,834,978,486,919 is 354178528830.
Find LCM of 105,834,978,486,919 with Prime Factorization
| 2 | 105, 834, 978, 486, 919 |
| 3 | 105, 417, 489, 243, 919 |
| 35, 139, 163, 81, 919 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 35 x 139 x 163 x 81 x 919 = 354178528830
Therefore, the lowest common multiple of 105,834,978,486,919 is 354178528830.
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.
105 x 834 x 978 x 486 x 919 = 38251281113640
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
834 : 1, 2, 3, 6, 139, 278, 417, 834
978 : 1, 2, 3, 6, 163, 326, 489, 978
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
919 : 1, 919
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,834,978,486,919, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
834:2x 3x 139
978:2x 3x 163
486:2x 3x 3x 3x 3x 3
919:919
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 38251281113640/(1x108)
LCM = 38251281113640/108
LCM = 354178528830
Thus, we can understand that the LCM of 105,834,978,486,919 is 354178528830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 834, 978, 486, 919
1. What is the LCM of 105, 834, 978, 486, 919?
Answer: LCM of 105, 834, 978, 486, 919 is 354178528830.
2. How to calculate the LCM of 105, 834, 978, 486, 919?
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 105, 834, 978, 486, 919.
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}.