Find the LCM of 697, 731, 257, 328 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 697, 731, 257, 328. So, keep reading to learn more.
Given numbers are 697,731,257,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,731,257,328 is 61620376.
Find LCM of 697,731,257,328 with Prime Factorization
17 | 697, 731, 257, 328 |
41 | 41, 43, 257, 328 |
1, 43, 257, 8 |
Multiply the prime numbers at the bottom and the left side.
17 x 41 x 1 x 43 x 257 x 8 = 61620376
Therefore, the lowest common multiple of 697,731,257,328 is 61620376.
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.
697 x 731 x 257 x 328 = 42949402072
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.
697 : 1, 17, 41, 697
731 : 1, 17, 43, 731
257 : 1, 257
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,731,257,328, is 1.
Now, the common factors can be found like this.
697:17x 41
731:17x 43
257:257
328:2x 2x 2x 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 41 = 697
Therefore, the value for common factors is 697.
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 = 42949402072/(1x697)
LCM = 42949402072/697
LCM = 61620376
Thus, we can understand that the LCM of 697,731,257,328 is 61620376.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 731, 257, 328?
Answer: LCM of 697, 731, 257, 328 is 61620376.
2. How to calculate the LCM of 697, 731, 257, 328?
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 697, 731, 257, 328.
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}.