LCM of 487, 194, 195, 209, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 487, 194, 195, 209, 715 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 487, 194, 195, 209, 715. So, keep reading to learn more.
Given numbers are 487,194,195,209,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,194,195,209,715 is 3850450890.
Find LCM of 487,194,195,209,715 with Prime Factorization
| 5 | 487, 194, 195, 209, 715 |
| 11 | 487, 194, 39, 209, 143 |
| 13 | 487, 194, 39, 19, 13 |
| 487, 194, 3, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 11 x 13 x 487 x 194 x 3 x 19 x 1 = 3850450890
Therefore, the lowest common multiple of 487,194,195,209,715 is 3850450890.
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.
487 x 194 x 195 x 209 x 715 = 2753072386350
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.
487 : 1, 487
194 : 1, 2, 97, 194
195 : 1, 3, 5, 13, 15, 39, 65, 195
209 : 1, 11, 19, 209
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,194,195,209,715, is 1.
Now, the common factors can be found like this.
487:487
194:2x 97
195:3x 5x 13
209:11x 19
715:5x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 11x 13 = 715
Therefore, the value for common factors is 715.
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 = 2753072386350/(1x715)
LCM = 2753072386350/715
LCM = 3850450890
Thus, we can understand that the LCM of 487,194,195,209,715 is 3850450890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 487, 194, 195, 209, 715
1. What is the LCM of 487, 194, 195, 209, 715?
Answer: LCM of 487, 194, 195, 209, 715 is 3850450890.
2. How to calculate the LCM of 487, 194, 195, 209, 715?
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 487, 194, 195, 209, 715.
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}.