LCM of 988, 382, 560, 540, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 382, 560, 540, 364 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 988, 382, 560, 540, 364. So, keep reading to learn more.
Given numbers are 988,382,560,540,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,382,560,540,364 is 713316240.
Find LCM of 988,382,560,540,364 with Prime Factorization
| 2 | 988, 382, 560, 540, 364 |
| 2 | 494, 191, 280, 270, 182 |
| 5 | 247, 191, 140, 135, 91 |
| 7 | 247, 191, 28, 27, 91 |
| 13 | 247, 191, 4, 27, 13 |
| 19, 191, 4, 27, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 19 x 191 x 4 x 27 x 1 = 713316240
Therefore, the lowest common multiple of 988,382,560,540,364 is 713316240.
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.
988 x 382 x 560 x 540 x 364 = 41543537817600
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.
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
382 : 1, 2, 191, 382
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,382,560,540,364, is 2.
Now, the common factors can be found like this.
988:2x 2x 13x 19
382:2x 191
560:2x 2x 2x 2x 5x 7
540:2x 2x 3x 3x 3x 5
364:2x 2x 7x 13
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 2x 5x 7x 13 = 29120
Therefore, the value for common factors is 29120.
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 = 41543537817600/(2x29120)
LCM = 41543537817600/58240
LCM = 713316240
Thus, we can understand that the LCM of 988,382,560,540,364 is 713316240.
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FAQs on LCM of 988, 382, 560, 540, 364
1. What is the LCM of 988, 382, 560, 540, 364?
Answer: LCM of 988, 382, 560, 540, 364 is 713316240.
2. How to calculate the LCM of 988, 382, 560, 540, 364?
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 988, 382, 560, 540, 364.
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}.