LCM of 765, 545, 218, 102, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 765, 545, 218, 102, 628 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, 545, 218, 102, 628. So, keep reading to learn more.
Given numbers are 765,545,218,102,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 765,545,218,102,628 is 52365780.
Find LCM of 765,545,218,102,628 with Prime Factorization
| 2 | 765, 545, 218, 102, 628 |
| 3 | 765, 545, 109, 51, 314 |
| 5 | 255, 545, 109, 17, 314 |
| 17 | 51, 109, 109, 17, 314 |
| 109 | 3, 109, 109, 1, 314 |
| 3, 1, 1, 1, 314 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 109 x 3 x 1 x 1 x 1 x 314 = 52365780
Therefore, the lowest common multiple of 765,545,218,102,628 is 52365780.
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 545 x 218 x 102 x 628 = 5822027420400
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
545 : 1, 5, 109, 545
218 : 1, 2, 109, 218
102 : 1, 2, 3, 6, 17, 34, 51, 102
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,545,218,102,628, is 1.
Now, the common factors can be found like this.
765:3x 3x 5x 17
545:5x 109
218:2x 109
102:2x 3x 17
628:2x 2x 157
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 5x 17x 109 = 111180
Therefore, the value for common factors is 111180.
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 = 5822027420400/(1x111180)
LCM = 5822027420400/111180
LCM = 52365780
Thus, we can understand that the LCM of 765,545,218,102,628 is 52365780.
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FAQs on LCM of 765, 545, 218, 102, 628
1. What is the LCM of 765, 545, 218, 102, 628?
Answer: LCM of 765, 545, 218, 102, 628 is 52365780.
2. How to calculate the LCM of 765, 545, 218, 102, 628?
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, 545, 218, 102, 628.
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}.