LCM of 759, 986, 996, 306, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 759, 986, 996, 306, 224 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 759, 986, 996, 306, 224. So, keep reading to learn more.
Given numbers are 759,986,996,306,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 759,986,996,306,224 is 20870654112.
Find LCM of 759,986,996,306,224 with Prime Factorization
| 2 | 759, 986, 996, 306, 224 |
| 2 | 759, 493, 498, 153, 112 |
| 3 | 759, 493, 249, 153, 56 |
| 17 | 253, 493, 83, 51, 56 |
| 253, 29, 83, 3, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 253 x 29 x 83 x 3 x 56 = 20870654112
Therefore, the lowest common multiple of 759,986,996,306,224 is 20870654112.
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.
759 x 986 x 996 x 306 x 224 = 51091361266176
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.
759 : 1, 3, 11, 23, 33, 69, 253, 759
986 : 1, 2, 17, 29, 34, 58, 493, 986
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,986,996,306,224, is 1.
Now, the common factors can be found like this.
759:3x 11x 23
986:2x 17x 29
996:2x 2x 3x 83
306:2x 3x 3x 17
224:2x 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 3x 3x 17 = 2448
Therefore, the value for common factors is 2448.
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 = 51091361266176/(1x2448)
LCM = 51091361266176/2448
LCM = 20870654112
Thus, we can understand that the LCM of 759,986,996,306,224 is 20870654112.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 759, 986, 996, 306, 224
1. What is the LCM of 759, 986, 996, 306, 224?
Answer: LCM of 759, 986, 996, 306, 224 is 20870654112.
2. How to calculate the LCM of 759, 986, 996, 306, 224?
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 759, 986, 996, 306, 224.
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}.