Find the LCM of 148, 660, 302, 315, 120 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 148, 660, 302, 315, 120. So, keep reading to learn more.
Given numbers are 148,660,302,315,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 148,660,302,315,120 is 154871640.
Find LCM of 148,660,302,315,120 with Prime Factorization
2 | 148, 660, 302, 315, 120 |
2 | 74, 330, 151, 315, 60 |
3 | 37, 165, 151, 315, 30 |
5 | 37, 55, 151, 105, 10 |
37, 11, 151, 21, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 37 x 11 x 151 x 21 x 2 = 154871640
Therefore, the lowest common multiple of 148,660,302,315,120 is 154871640.
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.
148 x 660 x 302 x 315 x 120 = 1115075808000
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.
148 : 1, 2, 4, 37, 74, 148
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
302 : 1, 2, 151, 302
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,660,302,315,120, is 1.
Now, the common factors can be found like this.
148:2x 2x 37
660:2x 2x 3x 5x 11
302:2x 151
315:3x 3x 5x 7
120:2x 2x 2x 3x 5
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 5x 5 = 7200
Therefore, the value for common factors is 7200.
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 = 1115075808000/(1x7200)
LCM = 1115075808000/7200
LCM = 154871640
Thus, we can understand that the LCM of 148,660,302,315,120 is 154871640.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 148, 660, 302, 315, 120?
Answer: LCM of 148, 660, 302, 315, 120 is 154871640.
2. How to calculate the LCM of 148, 660, 302, 315, 120?
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 148, 660, 302, 315, 120.
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}.