LCM of 310, 713, 292, 357, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 713, 292, 357, 810 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 310, 713, 292, 357, 810. So, keep reading to learn more.
Given numbers are 310,713,292,357,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,713,292,357,810 is 10034006220.
Find LCM of 310,713,292,357,810 with Prime Factorization
| 2 | 310, 713, 292, 357, 810 |
| 3 | 155, 713, 146, 357, 405 |
| 5 | 155, 713, 146, 119, 135 |
| 31 | 31, 713, 146, 119, 27 |
| 1, 23, 146, 119, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 1 x 23 x 146 x 119 x 27 = 10034006220
Therefore, the lowest common multiple of 310,713,292,357,810 is 10034006220.
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.
310 x 713 x 292 x 357 x 810 = 18663251569200
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
713 : 1, 23, 31, 713
292 : 1, 2, 4, 73, 146, 292
357 : 1, 3, 7, 17, 21, 51, 119, 357
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,713,292,357,810, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
713:23x 31
292:2x 2x 73
357:3x 7x 17
810:2x 3x 3x 3x 3x 5
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 31 = 1860
Therefore, the value for common factors is 1860.
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 = 18663251569200/(1x1860)
LCM = 18663251569200/1860
LCM = 10034006220
Thus, we can understand that the LCM of 310,713,292,357,810 is 10034006220.
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FAQs on LCM of 310, 713, 292, 357, 810
1. What is the LCM of 310, 713, 292, 357, 810?
Answer: LCM of 310, 713, 292, 357, 810 is 10034006220.
2. How to calculate the LCM of 310, 713, 292, 357, 810?
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 310, 713, 292, 357, 810.
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}.