LCM of 190, 475, 150, 320, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 475, 150, 320, 467 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 190, 475, 150, 320, 467. So, keep reading to learn more.
Given numbers are 190,475,150,320,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,475,150,320,467 is 42590400.
Find LCM of 190,475,150,320,467 with Prime Factorization
| 2 | 190, 475, 150, 320, 467 |
| 5 | 95, 475, 75, 160, 467 |
| 5 | 19, 95, 15, 32, 467 |
| 19 | 19, 19, 3, 32, 467 |
| 1, 1, 3, 32, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 19 x 1 x 1 x 3 x 32 x 467 = 42590400
Therefore, the lowest common multiple of 190,475,150,320,467 is 42590400.
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.
190 x 475 x 150 x 320 x 467 = 2023044000000
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
475 : 1, 5, 19, 25, 95, 475
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,475,150,320,467, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
475:5x 5x 19
150:2x 3x 5x 5
320:2x 2x 2x 2x 2x 2x 5
467:467
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 5x 5x 5x 5x 19 = 47500
Therefore, the value for common factors is 47500.
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 = 2023044000000/(1x47500)
LCM = 2023044000000/47500
LCM = 42590400
Thus, we can understand that the LCM of 190,475,150,320,467 is 42590400.
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FAQs on LCM of 190, 475, 150, 320, 467
1. What is the LCM of 190, 475, 150, 320, 467?
Answer: LCM of 190, 475, 150, 320, 467 is 42590400.
2. How to calculate the LCM of 190, 475, 150, 320, 467?
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 190, 475, 150, 320, 467.
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}.