Find the LCM of 867, 272, 405, 234, 736 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, 272, 405, 234, 736. So, keep reading to learn more.
Given numbers are 867,272,405,234,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,272,405,234,736 is 1119886560.
Find LCM of 867,272,405,234,736 with Prime Factorization
2 | 867, 272, 405, 234, 736 |
2 | 867, 136, 405, 117, 368 |
2 | 867, 68, 405, 117, 184 |
2 | 867, 34, 405, 117, 92 |
3 | 867, 17, 405, 117, 46 |
3 | 289, 17, 135, 39, 46 |
17 | 289, 17, 45, 13, 46 |
1, 17, 45, 13, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 17 x 1 x 17 x 45 x 13 x 46 = 1119886560
Therefore, the lowest common multiple of 867,272,405,234,736 is 1119886560.
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 272 x 405 x 234 x 736 = 16448893793280
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
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,272,405,234,736, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
272:2x 2x 2x 2x 17
405:3x 3x 3x 3x 5
234:2x 3x 3x 13
736:2x 2x 2x 2x 2x 23
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 3x 17 = 14688
Therefore, the value for common factors is 14688.
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 = 16448893793280/(1x14688)
LCM = 16448893793280/14688
LCM = 1119886560
Thus, we can understand that the LCM of 867,272,405,234,736 is 1119886560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 867, 272, 405, 234, 736?
Answer: LCM of 867, 272, 405, 234, 736 is 1119886560.
2. How to calculate the LCM of 867, 272, 405, 234, 736?
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, 272, 405, 234, 736.
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}.