LCM of 388, 357, 318, 782, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 357, 318, 782, 614 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 388, 357, 318, 782, 614. So, keep reading to learn more.
Given numbers are 388,357,318,782,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,357,318,782,614 is 51837258228.
Find LCM of 388,357,318,782,614 with Prime Factorization
| 2 | 388, 357, 318, 782, 614 |
| 3 | 194, 357, 159, 391, 307 |
| 17 | 194, 119, 53, 391, 307 |
| 194, 7, 53, 23, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 194 x 7 x 53 x 23 x 307 = 51837258228
Therefore, the lowest common multiple of 388,357,318,782,614 is 51837258228.
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.
388 x 357 x 318 x 782 x 614 = 21149601357024
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.
388 : 1, 2, 4, 97, 194, 388
357 : 1, 3, 7, 17, 21, 51, 119, 357
318 : 1, 2, 3, 6, 53, 106, 159, 318
782 : 1, 2, 17, 23, 34, 46, 391, 782
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,357,318,782,614, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
357:3x 7x 17
318:2x 3x 53
782:2x 17x 23
614:2x 307
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 17 = 408
Therefore, the value for common factors is 408.
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 = 21149601357024/(1x408)
LCM = 21149601357024/408
LCM = 51837258228
Thus, we can understand that the LCM of 388,357,318,782,614 is 51837258228.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 388, 357, 318, 782, 614
1. What is the LCM of 388, 357, 318, 782, 614?
Answer: LCM of 388, 357, 318, 782, 614 is 51837258228.
2. How to calculate the LCM of 388, 357, 318, 782, 614?
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 388, 357, 318, 782, 614.
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}.