LCM of 216, 656, 988, 191, 604
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 656, 988, 191, 604 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 216, 656, 988, 191, 604. So, keep reading to learn more.
Given numbers are 216,656,988,191,604
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,656,988,191,604 is 126175452624.
Find LCM of 216,656,988,191,604 with Prime Factorization
| 2 | 216, 656, 988, 191, 604 |
| 2 | 108, 328, 494, 191, 302 |
| 2 | 54, 164, 247, 191, 151 |
| 27, 82, 247, 191, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 27 x 82 x 247 x 191 x 151 = 126175452624
Therefore, the lowest common multiple of 216,656,988,191,604 is 126175452624.
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.
216 x 656 x 988 x 191 x 604 = 16150457935872
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
191 : 1, 191
604 : 1, 2, 4, 151, 302, 604
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,656,988,191,604, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
656:2x 2x 2x 2x 41
988:2x 2x 13x 19
191:191
604:2x 2x 151
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 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 16150457935872/(1x128)
LCM = 16150457935872/128
LCM = 126175452624
Thus, we can understand that the LCM of 216,656,988,191,604 is 126175452624.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 216, 656, 988, 191, 604
1. What is the LCM of 216, 656, 988, 191, 604?
Answer: LCM of 216, 656, 988, 191, 604 is 126175452624.
2. How to calculate the LCM of 216, 656, 988, 191, 604?
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 216, 656, 988, 191, 604.
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}.