LCM of 889, 889, 448, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 889, 889, 448, 140 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 889, 889, 448, 140. So, keep reading to learn more.
Given numbers are 889,889,448,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 889,889,448,140 is 284480.
Find LCM of 889,889,448,140 with Prime Factorization
| 2 | 889, 889, 448, 140 |
| 2 | 889, 889, 224, 70 |
| 7 | 889, 889, 112, 35 |
| 127 | 127, 127, 16, 5 |
| 1, 1, 16, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 127 x 1 x 1 x 16 x 5 = 284480
Therefore, the lowest common multiple of 889,889,448,140 is 284480.
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.
889 x 889 x 448 x 140 = 49568933120
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.
889 : 1, 7, 127, 889
889 : 1, 7, 127, 889
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,889,448,140, is 7.
Now, the common factors can be found like this.
889:7x 127
889:7x 127
448:2x 2x 2x 2x 2x 2x 7
140:2x 2x 5x 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 7x 7x 127 = 24892
Therefore, the value for common factors is 24892.
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 = 49568933120/(7x24892)
LCM = 49568933120/174244
LCM = 284480
Thus, we can understand that the LCM of 889,889,448,140 is 284480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 889, 889, 448, 140
1. What is the LCM of 889, 889, 448, 140?
Answer: LCM of 889, 889, 448, 140 is 284480.
2. How to calculate the LCM of 889, 889, 448, 140?
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 889, 889, 448, 140.
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}.