Find the LCM of 738, 627, 187, 152, 661 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 738, 627, 187, 152, 661. So, keep reading to learn more.
Given numbers are 738,627,187,152,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,627,187,152,661 is 6932869416.
Find LCM of 738,627,187,152,661 with Prime Factorization
2 | 738, 627, 187, 152, 661 |
3 | 369, 627, 187, 76, 661 |
11 | 123, 209, 187, 76, 661 |
19 | 123, 19, 17, 76, 661 |
123, 1, 17, 4, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 123 x 1 x 17 x 4 x 661 = 6932869416
Therefore, the lowest common multiple of 738,627,187,152,661 is 6932869416.
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.
738 x 627 x 187 x 152 x 661 = 8693818247664
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
627 : 1, 3, 11, 19, 33, 57, 209, 627
187 : 1, 11, 17, 187
152 : 1, 2, 4, 8, 19, 38, 76, 152
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,627,187,152,661, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
627:3x 11x 19
187:11x 17
152:2x 2x 2x 19
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 19 = 1254
Therefore, the value for common factors is 1254.
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 = 8693818247664/(1x1254)
LCM = 8693818247664/1254
LCM = 6932869416
Thus, we can understand that the LCM of 738,627,187,152,661 is 6932869416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 738, 627, 187, 152, 661?
Answer: LCM of 738, 627, 187, 152, 661 is 6932869416.
2. How to calculate the LCM of 738, 627, 187, 152, 661?
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 738, 627, 187, 152, 661.
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}.