LCM of 652, 217, 713, 833, 527
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 652, 217, 713, 833, 527 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 652, 217, 713, 833, 527. So, keep reading to learn more.
Given numbers are 652,217,713,833,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 652,217,713,833,527 is 387241708.
Find LCM of 652,217,713,833,527 with Prime Factorization
| 7 | 652, 217, 713, 833, 527 |
| 17 | 652, 31, 713, 119, 527 |
| 31 | 652, 31, 713, 7, 31 |
| 652, 1, 23, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 31 x 652 x 1 x 23 x 7 x 1 = 387241708
Therefore, the lowest common multiple of 652,217,713,833,527 is 387241708.
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.
652 x 217 x 713 x 833 x 527 = 44284574485172
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.
652 : 1, 2, 4, 163, 326, 652
217 : 1, 7, 31, 217
713 : 1, 23, 31, 713
833 : 1, 7, 17, 49, 119, 833
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 652,217,713,833,527, is 1.
Now, the common factors can be found like this.
652:2x 2x 163
217:7x 31
713:23x 31
833:7x 7x 17
527:17x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17x 31x 31 = 114359
Therefore, the value for common factors is 114359.
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 = 44284574485172/(1x114359)
LCM = 44284574485172/114359
LCM = 387241708
Thus, we can understand that the LCM of 652,217,713,833,527 is 387241708.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 652, 217, 713, 833, 527
1. What is the LCM of 652, 217, 713, 833, 527?
Answer: LCM of 652, 217, 713, 833, 527 is 387241708.
2. How to calculate the LCM of 652, 217, 713, 833, 527?
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 652, 217, 713, 833, 527.
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}.