LCM of 837, 713, 516, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 837, 713, 516, 510 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 837, 713, 516, 510. So, keep reading to learn more.
Given numbers are 837,713,516,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,713,516,510 is 281449620.
Find LCM of 837,713,516,510 with Prime Factorization
| 2 | 837, 713, 516, 510 |
| 3 | 837, 713, 258, 255 |
| 31 | 279, 713, 86, 85 |
| 9, 23, 86, 85 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 9 x 23 x 86 x 85 = 281449620
Therefore, the lowest common multiple of 837,713,516,510 is 281449620.
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.
837 x 713 x 516 x 510 = 157048887960
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
713 : 1, 23, 31, 713
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,713,516,510, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
713:23x 31
516:2x 2x 3x 43
510:2x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 31 = 558
Therefore, the value for common factors is 558.
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 = 157048887960/(1x558)
LCM = 157048887960/558
LCM = 281449620
Thus, we can understand that the LCM of 837,713,516,510 is 281449620.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 837, 713, 516, 510
1. What is the LCM of 837, 713, 516, 510?
Answer: LCM of 837, 713, 516, 510 is 281449620.
2. How to calculate the LCM of 837, 713, 516, 510?
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 837, 713, 516, 510.
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}.