LCM of 853, 486, 270, 141
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 486, 270, 141 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 853, 486, 270, 141. So, keep reading to learn more.
Given numbers are 853,486,270,141
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,486,270,141 is 97421130.
Find LCM of 853,486,270,141 with Prime Factorization
| 2 | 853, 486, 270, 141 |
| 3 | 853, 243, 135, 141 |
| 3 | 853, 81, 45, 47 |
| 3 | 853, 27, 15, 47 |
| 853, 9, 5, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 853 x 9 x 5 x 47 = 97421130
Therefore, the lowest common multiple of 853,486,270,141 is 97421130.
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.
853 x 486 x 270 x 141 = 15782223060
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.
853 : 1, 853
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
141 : 1, 3, 47, 141
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,486,270,141, is 1.
Now, the common factors can be found like this.
853:853
486:2x 3x 3x 3x 3x 3
270:2x 3x 3x 3x 5
141:3x 47
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 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 15782223060/(1x162)
LCM = 15782223060/162
LCM = 97421130
Thus, we can understand that the LCM of 853,486,270,141 is 97421130.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 853, 486, 270, 141
1. What is the LCM of 853, 486, 270, 141?
Answer: LCM of 853, 486, 270, 141 is 97421130.
2. How to calculate the LCM of 853, 486, 270, 141?
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 853, 486, 270, 141.
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}.