LCM of 867, 695, 856, 510
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 695, 856, 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 867, 695, 856, 510. So, keep reading to learn more.
Given numbers are 867,695,856,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,695,856,510 is 515795640.
Find LCM of 867,695,856,510 with Prime Factorization
| 2 | 867, 695, 856, 510 |
| 3 | 867, 695, 428, 255 |
| 5 | 289, 695, 428, 85 |
| 17 | 289, 139, 428, 17 |
| 1, 139, 428, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 1 x 139 x 428 x 17 = 515795640
Therefore, the lowest common multiple of 867,695,856,510 is 515795640.
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.
867 x 695 x 856 x 510 = 263055776400
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.
867 : 1, 3, 17, 51, 289, 867
695 : 1, 5, 139, 695
856 : 1, 2, 4, 8, 107, 214, 428, 856
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 867,695,856,510, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
695:5x 139
856:2x 2x 2x 107
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 5x 17 = 510
Therefore, the value for common factors is 510.
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 = 263055776400/(1x510)
LCM = 263055776400/510
LCM = 515795640
Thus, we can understand that the LCM of 867,695,856,510 is 515795640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 867, 695, 856, 510
1. What is the LCM of 867, 695, 856, 510?
Answer: LCM of 867, 695, 856, 510 is 515795640.
2. How to calculate the LCM of 867, 695, 856, 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 867, 695, 856, 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}.