LCM of 865, 323, 796, 510, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 323, 796, 510, 109 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 865, 323, 796, 510, 109. So, keep reading to learn more.
Given numbers are 865,323,796,510,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,323,796,510,109 is 72724283340.
Find LCM of 865,323,796,510,109 with Prime Factorization
| 2 | 865, 323, 796, 510, 109 |
| 5 | 865, 323, 398, 255, 109 |
| 17 | 173, 323, 398, 51, 109 |
| 173, 19, 398, 3, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 173 x 19 x 398 x 3 x 109 = 72724283340
Therefore, the lowest common multiple of 865,323,796,510,109 is 72724283340.
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.
865 x 323 x 796 x 510 x 109 = 12363128167800
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.
865 : 1, 5, 173, 865
323 : 1, 17, 19, 323
796 : 1, 2, 4, 199, 398, 796
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,323,796,510,109, is 1.
Now, the common factors can be found like this.
865:5x 173
323:17x 19
796:2x 2x 199
510:2x 3x 5x 17
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17 = 170
Therefore, the value for common factors is 170.
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 = 12363128167800/(1x170)
LCM = 12363128167800/170
LCM = 72724283340
Thus, we can understand that the LCM of 865,323,796,510,109 is 72724283340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 865, 323, 796, 510, 109
1. What is the LCM of 865, 323, 796, 510, 109?
Answer: LCM of 865, 323, 796, 510, 109 is 72724283340.
2. How to calculate the LCM of 865, 323, 796, 510, 109?
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 865, 323, 796, 510, 109.
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}.