LCM of 765, 748, 109, 888, 264
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 748, 109, 888, 264 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, 748, 109, 888, 264. So, keep reading to learn more.
Given numbers are 765,748,109,888,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,748,109,888,264 is 271501560.
Find LCM of 765,748,109,888,264 with Prime Factorization
| 2 | 765, 748, 109, 888, 264 |
| 2 | 765, 374, 109, 444, 132 |
| 2 | 765, 187, 109, 222, 66 |
| 3 | 765, 187, 109, 111, 33 |
| 11 | 255, 187, 109, 37, 11 |
| 17 | 255, 17, 109, 37, 1 |
| 15, 1, 109, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 15 x 1 x 109 x 37 x 1 = 271501560
Therefore, the lowest common multiple of 765,748,109,888,264 is 271501560.
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 748 x 109 x 888 x 264 = 14621988015360
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
109 : 1, 109
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,748,109,888,264, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
748:2x 2x 11x 17
109:109
888:2x 2x 2x 3x 37
264:2x 2x 2x 3x 11
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 3x 3x 11x 17 = 53856
Therefore, the value for common factors is 53856.
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 = 14621988015360/(1x53856)
LCM = 14621988015360/53856
LCM = 271501560
Thus, we can understand that the LCM of 765,748,109,888,264 is 271501560.
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, 748, 109, 888, 264
1. What is the LCM of 765, 748, 109, 888, 264?
Answer: LCM of 765, 748, 109, 888, 264 is 271501560.
2. How to calculate the LCM of 765, 748, 109, 888, 264?
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, 748, 109, 888, 264.
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}.