LCM of 765, 476, 748, 549, 227
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 476, 748, 549, 227 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 765, 476, 748, 549, 227. So, keep reading to learn more.
Given numbers are 765,476,748,549,227
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,476,748,549,227 is 3262630140.
Find LCM of 765,476,748,549,227 with Prime Factorization
| 2 | 765, 476, 748, 549, 227 |
| 2 | 765, 238, 374, 549, 227 |
| 3 | 765, 119, 187, 549, 227 |
| 3 | 255, 119, 187, 183, 227 |
| 17 | 85, 119, 187, 61, 227 |
| 5, 7, 11, 61, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 5 x 7 x 11 x 61 x 227 = 3262630140
Therefore, the lowest common multiple of 765,476,748,549,227 is 3262630140.
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.
765 x 476 x 748 x 549 x 227 = 33944403976560
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.
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
549 : 1, 3, 9, 61, 183, 549
227 : 1, 227
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,476,748,549,227, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
476:2x 2x 7x 17
748:2x 2x 11x 17
549:3x 3x 61
227:227
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 3x 3x 17x 17 = 10404
Therefore, the value for common factors is 10404.
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 = 33944403976560/(1x10404)
LCM = 33944403976560/10404
LCM = 3262630140
Thus, we can understand that the LCM of 765,476,748,549,227 is 3262630140.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 765, 476, 748, 549, 227
1. What is the LCM of 765, 476, 748, 549, 227?
Answer: LCM of 765, 476, 748, 549, 227 is 3262630140.
2. How to calculate the LCM of 765, 476, 748, 549, 227?
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 765, 476, 748, 549, 227.
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}.