Find the LCM of 660, 749, 156, 148, 198 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 660, 749, 156, 148, 198. So, keep reading to learn more.
Given numbers are 660,749,156,148,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 660,749,156,148,198 is 713332620.
Find LCM of 660,749,156,148,198 with Prime Factorization
2 | 660, 749, 156, 148, 198 |
2 | 330, 749, 78, 74, 99 |
3 | 165, 749, 39, 37, 99 |
11 | 55, 749, 13, 37, 33 |
5, 749, 13, 37, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 5 x 749 x 13 x 37 x 3 = 713332620
Therefore, the lowest common multiple of 660,749,156,148,198 is 713332620.
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.
660 x 749 x 156 x 148 x 198 = 2259837740160
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.
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
749 : 1, 7, 107, 749
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
148 : 1, 2, 4, 37, 74, 148
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,749,156,148,198, is 1.
Now, the common factors can be found like this.
660:2x 2x 3x 5x 11
749:7x 107
156:2x 2x 3x 13
148:2x 2x 37
198:2x 3x 3x 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 2x 2x 2x 3x 3x 11 = 3168
Therefore, the value for common factors is 3168.
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 = 2259837740160/(1x3168)
LCM = 2259837740160/3168
LCM = 713332620
Thus, we can understand that the LCM of 660,749,156,148,198 is 713332620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 660, 749, 156, 148, 198?
Answer: LCM of 660, 749, 156, 148, 198 is 713332620.
2. How to calculate the LCM of 660, 749, 156, 148, 198?
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 660, 749, 156, 148, 198.
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}.