LCM of 227, 963, 735, 663, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 963, 735, 663, 102 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 227, 963, 735, 663, 102. So, keep reading to learn more.
Given numbers are 227,963,735,663,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,963,735,663,102 is 23672302290.
Find LCM of 227,963,735,663,102 with Prime Factorization
| 3 | 227, 963, 735, 663, 102 |
| 17 | 227, 321, 245, 221, 34 |
| 227, 321, 245, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 227 x 321 x 245 x 13 x 2 = 23672302290
Therefore, the lowest common multiple of 227,963,735,663,102 is 23672302290.
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.
227 x 963 x 735 x 663 x 102 = 10865586751110
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.
227 : 1, 227
963 : 1, 3, 9, 107, 321, 963
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
663 : 1, 3, 13, 17, 39, 51, 221, 663
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,963,735,663,102, is 1.
Now, the common factors can be found like this.
227:227
963:3x 3x 107
735:3x 5x 7x 7
663:3x 13x 17
102:2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 17 = 459
Therefore, the value for common factors is 459.
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 = 10865586751110/(1x459)
LCM = 10865586751110/459
LCM = 23672302290
Thus, we can understand that the LCM of 227,963,735,663,102 is 23672302290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 227, 963, 735, 663, 102
1. What is the LCM of 227, 963, 735, 663, 102?
Answer: LCM of 227, 963, 735, 663, 102 is 23672302290.
2. How to calculate the LCM of 227, 963, 735, 663, 102?
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 227, 963, 735, 663, 102.
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}.