Find the LCM of 684, 266, 127, 261, 513 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 684, 266, 127, 261, 513. So, keep reading to learn more.
Given numbers are 684,266,127,261,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,266,127,261,513 is 52902612.
Find LCM of 684,266,127,261,513 with Prime Factorization
2 | 684, 266, 127, 261, 513 |
3 | 342, 133, 127, 261, 513 |
3 | 114, 133, 127, 87, 171 |
19 | 38, 133, 127, 29, 57 |
2, 7, 127, 29, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 2 x 7 x 127 x 29 x 3 = 52902612
Therefore, the lowest common multiple of 684,266,127,261,513 is 52902612.
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.
684 x 266 x 127 x 261 x 513 = 3093850554984
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
266 : 1, 2, 7, 14, 19, 38, 133, 266
127 : 1, 127
261 : 1, 3, 9, 29, 87, 261
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,266,127,261,513, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
266:2x 7x 19
127:127
261:3x 3x 29
513:3x 3x 3x 19
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 19x 19 = 58482
Therefore, the value for common factors is 58482.
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 = 3093850554984/(1x58482)
LCM = 3093850554984/58482
LCM = 52902612
Thus, we can understand that the LCM of 684,266,127,261,513 is 52902612.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 684, 266, 127, 261, 513?
Answer: LCM of 684, 266, 127, 261, 513 is 52902612.
2. How to calculate the LCM of 684, 266, 127, 261, 513?
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 684, 266, 127, 261, 513.
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}.