LCM of 852, 262, 876, 906, 281
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 262, 876, 906, 281 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 852, 262, 876, 906, 281. So, keep reading to learn more.
Given numbers are 852,262,876,906,281
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,262,876,906,281 is 345714040356.
Find LCM of 852,262,876,906,281 with Prime Factorization
| 2 | 852, 262, 876, 906, 281 |
| 2 | 426, 131, 438, 453, 281 |
| 3 | 213, 131, 219, 453, 281 |
| 71, 131, 73, 151, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 71 x 131 x 73 x 151 x 281 = 345714040356
Therefore, the lowest common multiple of 852,262,876,906,281 is 345714040356.
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.
852 x 262 x 876 x 906 x 281 = 49782821811264
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
262 : 1, 2, 131, 262
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
906 : 1, 2, 3, 6, 151, 302, 453, 906
281 : 1, 281
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,262,876,906,281, is 1.
Now, the common factors can be found like this.
852:2x 2x 3x 71
262:2x 131
876:2x 2x 3x 73
906:2x 3x 151
281:281
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 2x 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 49782821811264/(1x144)
LCM = 49782821811264/144
LCM = 345714040356
Thus, we can understand that the LCM of 852,262,876,906,281 is 345714040356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 852, 262, 876, 906, 281
1. What is the LCM of 852, 262, 876, 906, 281?
Answer: LCM of 852, 262, 876, 906, 281 is 345714040356.
2. How to calculate the LCM of 852, 262, 876, 906, 281?
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 852, 262, 876, 906, 281.
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}.