Find the LCM of 567, 688, 702, 887, 549 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 567, 688, 702, 887, 549. So, keep reading to learn more.
Given numbers are 567,688,702,887,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,688,702,887,549 is 274390015536.
Find LCM of 567,688,702,887,549 with Prime Factorization
2 | 567, 688, 702, 887, 549 |
3 | 567, 344, 351, 887, 549 |
3 | 189, 344, 117, 887, 183 |
3 | 63, 344, 39, 887, 61 |
21, 344, 13, 887, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 21 x 344 x 13 x 887 x 61 = 274390015536
Therefore, the lowest common multiple of 567,688,702,887,549 is 274390015536.
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.
567 x 688 x 702 x 887 x 549 = 133353547550496
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
887 : 1, 887
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,688,702,887,549, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
688:2x 2x 2x 2x 43
702:2x 3x 3x 3x 13
887:887
549:3x 3x 61
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 3x 3x 3 = 486
Therefore, the value for common factors is 486.
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 = 133353547550496/(1x486)
LCM = 133353547550496/486
LCM = 274390015536
Thus, we can understand that the LCM of 567,688,702,887,549 is 274390015536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 688, 702, 887, 549?
Answer: LCM of 567, 688, 702, 887, 549 is 274390015536.
2. How to calculate the LCM of 567, 688, 702, 887, 549?
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 567, 688, 702, 887, 549.
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}.