Find the LCM of 697, 584, 949, 727 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, 584, 949, 727. So, keep reading to learn more.
Given numbers are 697,584,949,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,584,949,727 is 3847010648.
Find LCM of 697,584,949,727 with Prime Factorization
73 | 697, 584, 949, 727 |
697, 8, 13, 727 |
Multiply the prime numbers at the bottom and the left side.
73 x 697 x 8 x 13 x 727 = 3847010648
Therefore, the lowest common multiple of 697,584,949,727 is 3847010648.
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 584 x 949 x 727 = 280831777304
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
584 : 1, 2, 4, 8, 73, 146, 292, 584
949 : 1, 13, 73, 949
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,584,949,727, is 1.
Now, the common factors can be found like this.
697:17x 41
584:2x 2x 2x 73
949:13x 73
727:727
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
73 = 73
Therefore, the value for common factors is 73.
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 = 280831777304/(1x73)
LCM = 280831777304/73
LCM = 3847010648
Thus, we can understand that the LCM of 697,584,949,727 is 3847010648.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 584, 949, 727?
Answer: LCM of 697, 584, 949, 727 is 3847010648.
2. How to calculate the LCM of 697, 584, 949, 727?
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, 584, 949, 727.
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}.