LCM of 854, 671, 110, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 854, 671, 110, 990 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 854, 671, 110, 990. So, keep reading to learn more.
Given numbers are 854,671,110,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,671,110,990 is 422730.
Find LCM of 854,671,110,990 with Prime Factorization
| 2 | 854, 671, 110, 990 |
| 5 | 427, 671, 55, 495 |
| 11 | 427, 671, 11, 99 |
| 61 | 427, 61, 1, 9 |
| 7, 1, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 61 x 7 x 1 x 1 x 9 = 422730
Therefore, the lowest common multiple of 854,671,110,990 is 422730.
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.
854 x 671 x 110 x 990 = 62403402600
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
671 : 1, 11, 61, 671
110 : 1, 2, 5, 10, 11, 22, 55, 110
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,671,110,990, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
671:11x 61
110:2x 5x 11
990:2x 3x 3x 5x 11
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 5x 11x 11x 61 = 147620
Therefore, the value for common factors is 147620.
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 = 62403402600/(1x147620)
LCM = 62403402600/147620
LCM = 422730
Thus, we can understand that the LCM of 854,671,110,990 is 422730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 854, 671, 110, 990
1. What is the LCM of 854, 671, 110, 990?
Answer: LCM of 854, 671, 110, 990 is 422730.
2. How to calculate the LCM of 854, 671, 110, 990?
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 854, 671, 110, 990.
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}.