LCM of 484, 278, 432, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 278, 432, 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 484, 278, 432, 228. So, keep reading to learn more.
Given numbers are 484,278,432,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,278,432,228 is 138050352.
Find LCM of 484,278,432,228 with Prime Factorization
| 2 | 484, 278, 432, 228 |
| 2 | 242, 139, 216, 114 |
| 3 | 121, 139, 108, 57 |
| 121, 139, 36, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 121 x 139 x 36 x 19 = 138050352
Therefore, the lowest common multiple of 484,278,432,228 is 138050352.
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.
484 x 278 x 432 x 228 = 13252833792
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
278 : 1, 2, 139, 278
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,278,432,228, is 2.
Now, the common factors can be found like this.
484:2x 2x 11x 11
278:2x 139
432:2x 2x 2x 2x 3x 3x 3
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 2x 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 13252833792/(2x48)
LCM = 13252833792/96
LCM = 138050352
Thus, we can understand that the LCM of 484,278,432,228 is 138050352.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 278, 432, 228
1. What is the LCM of 484, 278, 432, 228?
Answer: LCM of 484, 278, 432, 228 is 138050352.
2. How to calculate the LCM of 484, 278, 432, 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 484, 278, 432, 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}.