LCM of 885, 851, 989, 348, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 885, 851, 989, 348, 529 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 885, 851, 989, 348, 529. So, keep reading to learn more.
Given numbers are 885,851,989,348,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 885,851,989,348,529 is 86402659740.
Find LCM of 885,851,989,348,529 with Prime Factorization
| 3 | 885, 851, 989, 348, 529 |
| 23 | 295, 851, 989, 116, 529 |
| 295, 37, 43, 116, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 295 x 37 x 43 x 116 x 23 = 86402659740
Therefore, the lowest common multiple of 885,851,989,348,529 is 86402659740.
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.
885 x 851 x 989 x 348 x 529 = 137121021007380
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.
885 : 1, 3, 5, 15, 59, 177, 295, 885
851 : 1, 23, 37, 851
989 : 1, 23, 43, 989
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,851,989,348,529, is 1.
Now, the common factors can be found like this.
885:3x 5x 59
851:23x 37
989:23x 43
348:2x 2x 3x 29
529:23x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 23 = 1587
Therefore, the value for common factors is 1587.
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 = 137121021007380/(1x1587)
LCM = 137121021007380/1587
LCM = 86402659740
Thus, we can understand that the LCM of 885,851,989,348,529 is 86402659740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 885, 851, 989, 348, 529
1. What is the LCM of 885, 851, 989, 348, 529?
Answer: LCM of 885, 851, 989, 348, 529 is 86402659740.
2. How to calculate the LCM of 885, 851, 989, 348, 529?
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 885, 851, 989, 348, 529.
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}.