LCM of 150, 385, 224, 582, 889
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 150, 385, 224, 582, 889 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 150, 385, 224, 582, 889. So, keep reading to learn more.
Given numbers are 150,385,224,582,889
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 150,385,224,582,889 is 2276551200.
Find LCM of 150,385,224,582,889 with Prime Factorization
| 2 | 150, 385, 224, 582, 889 |
| 3 | 75, 385, 112, 291, 889 |
| 5 | 25, 385, 112, 97, 889 |
| 7 | 5, 77, 112, 97, 889 |
| 5, 11, 16, 97, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 5 x 11 x 16 x 97 x 127 = 2276551200
Therefore, the lowest common multiple of 150,385,224,582,889 is 2276551200.
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.
150 x 385 x 224 x 582 x 889 = 6693060528000
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.
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
385 : 1, 5, 7, 11, 35, 55, 77, 385
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
582 : 1, 2, 3, 6, 97, 194, 291, 582
889 : 1, 7, 127, 889
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,385,224,582,889, is 1.
Now, the common factors can be found like this.
150:2x 3x 5x 5
385:5x 7x 11
224:2x 2x 2x 2x 2x 7
582:2x 3x 97
889:7x 127
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 3x 5x 7x 7 = 2940
Therefore, the value for common factors is 2940.
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 = 6693060528000/(1x2940)
LCM = 6693060528000/2940
LCM = 2276551200
Thus, we can understand that the LCM of 150,385,224,582,889 is 2276551200.
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FAQs on LCM of 150, 385, 224, 582, 889
1. What is the LCM of 150, 385, 224, 582, 889?
Answer: LCM of 150, 385, 224, 582, 889 is 2276551200.
2. How to calculate the LCM of 150, 385, 224, 582, 889?
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 150, 385, 224, 582, 889.
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}.