Find the LCM of 731, 578, 962, 136, 226 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 731, 578, 962, 136, 226. So, keep reading to learn more.
Given numbers are 731,578,962,136,226
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,578,962,136,226 is 5403557848.
Find LCM of 731,578,962,136,226 with Prime Factorization
2 | 731, 578, 962, 136, 226 |
17 | 731, 289, 481, 68, 113 |
43, 17, 481, 4, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 43 x 17 x 481 x 4 x 113 = 5403557848
Therefore, the lowest common multiple of 731,578,962,136,226 is 5403557848.
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.
731 x 578 x 962 x 136 x 226 = 12493025744576
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.
731 : 1, 17, 43, 731
578 : 1, 2, 17, 34, 289, 578
962 : 1, 2, 13, 26, 37, 74, 481, 962
136 : 1, 2, 4, 8, 17, 34, 68, 136
226 : 1, 2, 113, 226
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,578,962,136,226, is 1.
Now, the common factors can be found like this.
731:17x 43
578:2x 17x 17
962:2x 13x 37
136:2x 2x 2x 17
226:2x 113
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 17x 17 = 2312
Therefore, the value for common factors is 2312.
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 = 12493025744576/(1x2312)
LCM = 12493025744576/2312
LCM = 5403557848
Thus, we can understand that the LCM of 731,578,962,136,226 is 5403557848.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 731, 578, 962, 136, 226?
Answer: LCM of 731, 578, 962, 136, 226 is 5403557848.
2. How to calculate the LCM of 731, 578, 962, 136, 226?
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 731, 578, 962, 136, 226.
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}.