LCM of 549, 930, 712, 516, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 930, 712, 516, 868 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 549, 930, 712, 516, 868. So, keep reading to learn more.
Given numbers are 549,930,712,516,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,930,712,516,868 is 18236879640.
Find LCM of 549,930,712,516,868 with Prime Factorization
| 2 | 549, 930, 712, 516, 868 |
| 2 | 549, 465, 356, 258, 434 |
| 3 | 549, 465, 178, 129, 217 |
| 31 | 183, 155, 178, 43, 217 |
| 183, 5, 178, 43, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 31 x 183 x 5 x 178 x 43 x 7 = 18236879640
Therefore, the lowest common multiple of 549,930,712,516,868 is 18236879640.
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.
549 x 930 x 712 x 516 x 868 = 162818861425920
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.
549 : 1, 3, 9, 61, 183, 549
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
712 : 1, 2, 4, 8, 89, 178, 356, 712
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,930,712,516,868, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
930:2x 3x 5x 31
712:2x 2x 2x 89
516:2x 2x 3x 43
868:2x 2x 7x 31
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 2x 2x 2x 3x 3x 31 = 8928
Therefore, the value for common factors is 8928.
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 = 162818861425920/(1x8928)
LCM = 162818861425920/8928
LCM = 18236879640
Thus, we can understand that the LCM of 549,930,712,516,868 is 18236879640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 549, 930, 712, 516, 868
1. What is the LCM of 549, 930, 712, 516, 868?
Answer: LCM of 549, 930, 712, 516, 868 is 18236879640.
2. How to calculate the LCM of 549, 930, 712, 516, 868?
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 549, 930, 712, 516, 868.
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}.