LCM of 448, 847, 252, 732, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 847, 252, 732, 189 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 448, 847, 252, 732, 189. So, keep reading to learn more.
Given numbers are 448,847,252,732,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,847,252,732,189 is 89280576.
Find LCM of 448,847,252,732,189 with Prime Factorization
| 2 | 448, 847, 252, 732, 189 |
| 2 | 224, 847, 126, 366, 189 |
| 3 | 112, 847, 63, 183, 189 |
| 3 | 112, 847, 21, 61, 63 |
| 7 | 112, 847, 7, 61, 21 |
| 16, 121, 1, 61, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 16 x 121 x 1 x 61 x 3 = 89280576
Therefore, the lowest common multiple of 448,847,252,732,189 is 89280576.
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.
448 x 847 x 252 x 732 x 189 = 13229238629376
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
847 : 1, 7, 11, 77, 121, 847
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,847,252,732,189, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
847:7x 11x 11
252:2x 2x 3x 3x 7
732:2x 2x 3x 61
189:3x 3x 3x 7
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 3x 3x 7x 7x 7 = 148176
Therefore, the value for common factors is 148176.
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 = 13229238629376/(1x148176)
LCM = 13229238629376/148176
LCM = 89280576
Thus, we can understand that the LCM of 448,847,252,732,189 is 89280576.
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FAQs on LCM of 448, 847, 252, 732, 189
1. What is the LCM of 448, 847, 252, 732, 189?
Answer: LCM of 448, 847, 252, 732, 189 is 89280576.
2. How to calculate the LCM of 448, 847, 252, 732, 189?
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 448, 847, 252, 732, 189.
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}.