Find the LCM of 727, 403, 697, 507, 746 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 727, 403, 697, 507, 746. So, keep reading to learn more.
Given numbers are 727,403,697,507,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 727,403,697,507,746 is 5941220482158.
Find LCM of 727,403,697,507,746 with Prime Factorization
13 | 727, 403, 697, 507, 746 |
727, 31, 697, 39, 746 |
Multiply the prime numbers at the bottom and the left side.
13 x 727 x 31 x 697 x 39 x 746 = 5941220482158
Therefore, the lowest common multiple of 727,403,697,507,746 is 5941220482158.
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.
727 x 403 x 697 x 507 x 746 = 77235866268054
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.
727 : 1, 727
403 : 1, 13, 31, 403
697 : 1, 17, 41, 697
507 : 1, 3, 13, 39, 169, 507
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,403,697,507,746, is 1.
Now, the common factors can be found like this.
727:727
403:13x 31
697:17x 41
507:3x 13x 13
746:2x 373
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 77235866268054/(1x13)
LCM = 77235866268054/13
LCM = 5941220482158
Thus, we can understand that the LCM of 727,403,697,507,746 is 5941220482158.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 727, 403, 697, 507, 746?
Answer: LCM of 727, 403, 697, 507, 746 is 5941220482158.
2. How to calculate the LCM of 727, 403, 697, 507, 746?
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 727, 403, 697, 507, 746.
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}.