Find the LCM of 185, 924, 550, 748, 712 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 185, 924, 550, 748, 712. So, keep reading to learn more.
Given numbers are 185,924,550,748,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 185,924,550,748,712 is 2586322200.
Find LCM of 185,924,550,748,712 with Prime Factorization
2 | 185, 924, 550, 748, 712 |
2 | 185, 462, 275, 374, 356 |
5 | 185, 231, 275, 187, 178 |
11 | 37, 231, 55, 187, 178 |
37, 21, 5, 17, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 37 x 21 x 5 x 17 x 178 = 2586322200
Therefore, the lowest common multiple of 185,924,550,748,712 is 2586322200.
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.
185 x 924 x 550 x 748 x 712 = 50071197792000
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.
185 : 1, 5, 37, 185
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
712 : 1, 2, 4, 8, 89, 178, 356, 712
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,924,550,748,712, is 1.
Now, the common factors can be found like this.
185:5x 37
924:2x 2x 3x 7x 11
550:2x 5x 5x 11
748:2x 2x 11x 17
712:2x 2x 2x 89
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 2x 2x 2x 5x 11x 11 = 19360
Therefore, the value for common factors is 19360.
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 = 50071197792000/(1x19360)
LCM = 50071197792000/19360
LCM = 2586322200
Thus, we can understand that the LCM of 185,924,550,748,712 is 2586322200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 185, 924, 550, 748, 712?
Answer: LCM of 185, 924, 550, 748, 712 is 2586322200.
2. How to calculate the LCM of 185, 924, 550, 748, 712?
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 185, 924, 550, 748, 712.
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}.