LCM of 872, 533, 943, 943, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 533, 943, 943, 146 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 872, 533, 943, 943, 146. So, keep reading to learn more.
Given numbers are 872,533,943,943,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,533,943,943,146 is 780358904.
Find LCM of 872,533,943,943,146 with Prime Factorization
| 2 | 872, 533, 943, 943, 146 |
| 23 | 436, 533, 943, 943, 73 |
| 41 | 436, 533, 41, 41, 73 |
| 436, 13, 1, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 41 x 436 x 13 x 1 x 1 x 73 = 780358904
Therefore, the lowest common multiple of 872,533,943,943,146 is 780358904.
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.
872 x 533 x 943 x 943 x 146 = 60342032610704
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
533 : 1, 13, 41, 533
943 : 1, 23, 41, 943
943 : 1, 23, 41, 943
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,533,943,943,146, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
533:13x 41
943:23x 41
943:23x 41
146:2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 41x 41 = 77326
Therefore, the value for common factors is 77326.
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 = 60342032610704/(1x77326)
LCM = 60342032610704/77326
LCM = 780358904
Thus, we can understand that the LCM of 872,533,943,943,146 is 780358904.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 872, 533, 943, 943, 146
1. What is the LCM of 872, 533, 943, 943, 146?
Answer: LCM of 872, 533, 943, 943, 146 is 780358904.
2. How to calculate the LCM of 872, 533, 943, 943, 146?
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 872, 533, 943, 943, 146.
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}.