LCM of 362, 905, 489, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 905, 489, 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 362, 905, 489, 228. So, keep reading to learn more.
Given numbers are 362,905,489,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,905,489,228 is 33633420.
Find LCM of 362,905,489,228 with Prime Factorization
| 2 | 362, 905, 489, 228 |
| 3 | 181, 905, 489, 114 |
| 181 | 181, 905, 163, 38 |
| 1, 5, 163, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 181 x 1 x 5 x 163 x 38 = 33633420
Therefore, the lowest common multiple of 362,905,489,228 is 33633420.
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.
362 x 905 x 489 x 228 = 36525894120
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.
362 : 1, 2, 181, 362
905 : 1, 5, 181, 905
489 : 1, 3, 163, 489
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 362,905,489,228, is 1.
Now, the common factors can be found like this.
362:2x 181
905:5x 181
489:3x 163
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 3x 181 = 1086
Therefore, the value for common factors is 1086.
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 = 36525894120/(1x1086)
LCM = 36525894120/1086
LCM = 33633420
Thus, we can understand that the LCM of 362,905,489,228 is 33633420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 905, 489, 228
1. What is the LCM of 362, 905, 489, 228?
Answer: LCM of 362, 905, 489, 228 is 33633420.
2. How to calculate the LCM of 362, 905, 489, 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 362, 905, 489, 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}.