Find the LCM of 221, 731, 688, 697 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 221, 731, 688, 697. So, keep reading to learn more.
Given numbers are 221,731,688,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 221,731,688,697 is 6233968.
Find LCM of 221,731,688,697 with Prime Factorization
17 | 221, 731, 688, 697 |
43 | 13, 43, 688, 41 |
13, 1, 16, 41 |
Multiply the prime numbers at the bottom and the left side.
17 x 43 x 13 x 1 x 16 x 41 = 6233968
Therefore, the lowest common multiple of 221,731,688,697 is 6233968.
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.
221 x 731 x 688 x 697 = 77469520336
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.
221 : 1, 13, 17, 221
731 : 1, 17, 43, 731
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,731,688,697, is 1.
Now, the common factors can be found like this.
221:13x 17
731:17x 43
688:2x 2x 2x 2x 43
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 17x 43 = 12427
Therefore, the value for common factors is 12427.
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 = 77469520336/(1x12427)
LCM = 77469520336/12427
LCM = 6233968
Thus, we can understand that the LCM of 221,731,688,697 is 6233968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 221, 731, 688, 697?
Answer: LCM of 221, 731, 688, 697 is 6233968.
2. How to calculate the LCM of 221, 731, 688, 697?
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 221, 731, 688, 697.
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}.