LCM of 190, 133, 315, 452
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 133, 315, 452 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, 133, 315, 452. So, keep reading to learn more.
Given numbers are 190,133,315,452
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,133,315,452 is 2705220.
Find LCM of 190,133,315,452 with Prime Factorization
| 2 | 190, 133, 315, 452 |
| 5 | 95, 133, 315, 226 |
| 7 | 19, 133, 63, 226 |
| 19 | 19, 19, 9, 226 |
| 1, 1, 9, 226 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 19 x 1 x 1 x 9 x 226 = 2705220
Therefore, the lowest common multiple of 190,133,315,452 is 2705220.
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 133 x 315 x 452 = 3597942600
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
133 : 1, 7, 19, 133
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
452 : 1, 2, 4, 113, 226, 452
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,133,315,452, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
133:7x 19
315:3x 3x 5x 7
452:2x 2x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 19 = 1330
Therefore, the value for common factors is 1330.
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 = 3597942600/(1x1330)
LCM = 3597942600/1330
LCM = 2705220
Thus, we can understand that the LCM of 190,133,315,452 is 2705220.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 190, 133, 315, 452
1. What is the LCM of 190, 133, 315, 452?
Answer: LCM of 190, 133, 315, 452 is 2705220.
2. How to calculate the LCM of 190, 133, 315, 452?
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, 133, 315, 452.
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}.