LCM of 898, 265, 950, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 898, 265, 950, 228 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 898, 265, 950, 228. So, keep reading to learn more.
Given numbers are 898,265,950,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 898,265,950,228 is 135642900.
Find LCM of 898,265,950,228 with Prime Factorization
| 2 | 898, 265, 950, 228 |
| 5 | 449, 265, 475, 114 |
| 19 | 449, 53, 95, 114 |
| 449, 53, 5, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 19 x 449 x 53 x 5 x 6 = 135642900
Therefore, the lowest common multiple of 898,265,950,228 is 135642900.
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.
898 x 265 x 950 x 228 = 51544302000
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.
898 : 1, 2, 449, 898
265 : 1, 5, 53, 265
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 898,265,950,228, is 1.
Now, the common factors can be found like this.
898:2x 449
265:5x 53
950:2x 5x 5x 19
228:2x 2x 3x 19
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 19 = 380
Therefore, the value for common factors is 380.
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 = 51544302000/(1x380)
LCM = 51544302000/380
LCM = 135642900
Thus, we can understand that the LCM of 898,265,950,228 is 135642900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 898, 265, 950, 228
1. What is the LCM of 898, 265, 950, 228?
Answer: LCM of 898, 265, 950, 228 is 135642900.
2. How to calculate the LCM of 898, 265, 950, 228?
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 898, 265, 950, 228.
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}.