Find the LCM of 746, 957, 723, 759, 987 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 746, 957, 723, 759, 987. So, keep reading to learn more.
Given numbers are 746,957,723,759,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,957,723,759,987 is 1301941713534.
Find LCM of 746,957,723,759,987 with Prime Factorization
3 | 746, 957, 723, 759, 987 |
11 | 746, 319, 241, 253, 329 |
746, 29, 241, 23, 329 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 746 x 29 x 241 x 23 x 329 = 1301941713534
Therefore, the lowest common multiple of 746,957,723,759,987 is 1301941713534.
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.
746 x 957 x 723 x 759 x 987 = 386676688919598
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.
746 : 1, 2, 373, 746
957 : 1, 3, 11, 29, 33, 87, 319, 957
723 : 1, 3, 241, 723
759 : 1, 3, 11, 23, 33, 69, 253, 759
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,957,723,759,987, is 1.
Now, the common factors can be found like this.
746:2x 373
957:3x 11x 29
723:3x 241
759:3x 11x 23
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 11 = 297
Therefore, the value for common factors is 297.
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 = 386676688919598/(1x297)
LCM = 386676688919598/297
LCM = 1301941713534
Thus, we can understand that the LCM of 746,957,723,759,987 is 1301941713534.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 746, 957, 723, 759, 987?
Answer: LCM of 746, 957, 723, 759, 987 is 1301941713534.
2. How to calculate the LCM of 746, 957, 723, 759, 987?
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 746, 957, 723, 759, 987.
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}.