Find the LCM of 746, 306, 550, 550 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, 306, 550, 550. So, keep reading to learn more.
Given numbers are 746,306,550,550
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,306,550,550 is 31387950.
Find LCM of 746,306,550,550 with Prime Factorization
2 | 746, 306, 550, 550 |
5 | 373, 153, 275, 275 |
5 | 373, 153, 55, 55 |
11 | 373, 153, 11, 11 |
373, 153, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 11 x 373 x 153 x 1 x 1 = 31387950
Therefore, the lowest common multiple of 746,306,550,550 is 31387950.
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 306 x 550 x 550 = 69053490000
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
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,306,550,550, is 2.
Now, the common factors can be found like this.
746:2x 373
306:2x 3x 3x 17
550:2x 5x 5x 11
550:2x 5x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5x 5x 11 = 1100
Therefore, the value for common factors is 1100.
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 = 69053490000/(2x1100)
LCM = 69053490000/2200
LCM = 31387950
Thus, we can understand that the LCM of 746,306,550,550 is 31387950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 746, 306, 550, 550?
Answer: LCM of 746, 306, 550, 550 is 31387950.
2. How to calculate the LCM of 746, 306, 550, 550?
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, 306, 550, 550.
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}.