LCM of 187, 510, 712, 222, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 510, 712, 222, 448 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 187, 510, 712, 222, 448. So, keep reading to learn more.
Given numbers are 187,510,712,222,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,510,712,222,448 is 4138115520.
Find LCM of 187,510,712,222,448 with Prime Factorization
| 2 | 187, 510, 712, 222, 448 |
| 2 | 187, 255, 356, 111, 224 |
| 2 | 187, 255, 178, 111, 112 |
| 3 | 187, 255, 89, 111, 56 |
| 17 | 187, 85, 89, 37, 56 |
| 11, 5, 89, 37, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 17 x 11 x 5 x 89 x 37 x 56 = 4138115520
Therefore, the lowest common multiple of 187,510,712,222,448 is 4138115520.
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.
187 x 510 x 712 x 222 x 448 = 6753404528640
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.
187 : 1, 11, 17, 187
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
712 : 1, 2, 4, 8, 89, 178, 356, 712
222 : 1, 2, 3, 6, 37, 74, 111, 222
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,510,712,222,448, is 1.
Now, the common factors can be found like this.
187:11x 17
510:2x 3x 5x 17
712:2x 2x 2x 89
222:2x 3x 37
448:2x 2x 2x 2x 2x 2x 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 2x 3x 17 = 1632
Therefore, the value for common factors is 1632.
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 = 6753404528640/(1x1632)
LCM = 6753404528640/1632
LCM = 4138115520
Thus, we can understand that the LCM of 187,510,712,222,448 is 4138115520.
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FAQs on LCM of 187, 510, 712, 222, 448
1. What is the LCM of 187, 510, 712, 222, 448?
Answer: LCM of 187, 510, 712, 222, 448 is 4138115520.
2. How to calculate the LCM of 187, 510, 712, 222, 448?
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 187, 510, 712, 222, 448.
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}.