Find the LCM of 709, 697, 561, 407 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 709, 697, 561, 407. So, keep reading to learn more.
Given numbers are 709,697,561,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 709,697,561,407 is 603385233.
Find LCM of 709,697,561,407 with Prime Factorization
11 | 709, 697, 561, 407 |
17 | 709, 697, 51, 37 |
709, 41, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 709 x 41 x 3 x 37 = 603385233
Therefore, the lowest common multiple of 709,697,561,407 is 603385233.
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.
709 x 697 x 561 x 407 = 112833038571
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.
709 : 1, 709
697 : 1, 17, 41, 697
561 : 1, 3, 11, 17, 33, 51, 187, 561
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,697,561,407, is 1.
Now, the common factors can be found like this.
709:709
697:17x 41
561:3x 11x 17
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 112833038571/(1x187)
LCM = 112833038571/187
LCM = 603385233
Thus, we can understand that the LCM of 709,697,561,407 is 603385233.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 709, 697, 561, 407?
Answer: LCM of 709, 697, 561, 407 is 603385233.
2. How to calculate the LCM of 709, 697, 561, 407?
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 709, 697, 561, 407.
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}.