LCM of 397, 312, 481, 618, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 397, 312, 481, 618, 148 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 397, 312, 481, 618, 148. So, keep reading to learn more.
Given numbers are 397,312,481,618,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,312,481,618,148 is 472045704.
Find LCM of 397,312,481,618,148 with Prime Factorization
| 2 | 397, 312, 481, 618, 148 |
| 2 | 397, 156, 481, 309, 74 |
| 3 | 397, 78, 481, 309, 37 |
| 13 | 397, 26, 481, 103, 37 |
| 37 | 397, 2, 37, 103, 37 |
| 397, 2, 1, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 37 x 397 x 2 x 1 x 103 x 1 = 472045704
Therefore, the lowest common multiple of 397,312,481,618,148 is 472045704.
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.
397 x 312 x 481 x 618 x 148 = 5449295606976
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.
397 : 1, 397
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
481 : 1, 13, 37, 481
618 : 1, 2, 3, 6, 103, 206, 309, 618
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,312,481,618,148, is 1.
Now, the common factors can be found like this.
397:397
312:2x 2x 2x 3x 13
481:13x 37
618:2x 3x 103
148:2x 2x 37
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 3x 13x 37 = 11544
Therefore, the value for common factors is 11544.
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 = 5449295606976/(1x11544)
LCM = 5449295606976/11544
LCM = 472045704
Thus, we can understand that the LCM of 397,312,481,618,148 is 472045704.
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FAQs on LCM of 397, 312, 481, 618, 148
1. What is the LCM of 397, 312, 481, 618, 148?
Answer: LCM of 397, 312, 481, 618, 148 is 472045704.
2. How to calculate the LCM of 397, 312, 481, 618, 148?
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 397, 312, 481, 618, 148.
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}.