LCM of 438, 627, 192, 456, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 438, 627, 192, 456, 356 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 438, 627, 192, 456, 356. So, keep reading to learn more.
Given numbers are 438,627,192,456,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,627,192,456,356 is 260711616.
Find LCM of 438,627,192,456,356 with Prime Factorization
| 2 | 438, 627, 192, 456, 356 |
| 2 | 219, 627, 96, 228, 178 |
| 2 | 219, 627, 48, 114, 89 |
| 3 | 219, 627, 24, 57, 89 |
| 19 | 73, 209, 8, 19, 89 |
| 73, 11, 8, 1, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 73 x 11 x 8 x 1 x 89 = 260711616
Therefore, the lowest common multiple of 438,627,192,456,356 is 260711616.
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.
438 x 627 x 192 x 456 x 356 = 8559683776512
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
627 : 1, 3, 11, 19, 33, 57, 209, 627
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,627,192,456,356, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
627:3x 11x 19
192:2x 2x 2x 2x 2x 2x 3
456:2x 2x 2x 3x 19
356:2x 2x 89
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 2x 2x 3x 3x 3x 19 = 32832
Therefore, the value for common factors is 32832.
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 = 8559683776512/(1x32832)
LCM = 8559683776512/32832
LCM = 260711616
Thus, we can understand that the LCM of 438,627,192,456,356 is 260711616.
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FAQs on LCM of 438, 627, 192, 456, 356
1. What is the LCM of 438, 627, 192, 456, 356?
Answer: LCM of 438, 627, 192, 456, 356 is 260711616.
2. How to calculate the LCM of 438, 627, 192, 456, 356?
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 438, 627, 192, 456, 356.
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}.