LCM of 288, 988, 862, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 288, 988, 862, 728 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 288, 988, 862, 728. So, keep reading to learn more.
Given numbers are 288,988,862,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 288,988,862,728 is 214617312.
Find LCM of 288,988,862,728 with Prime Factorization
| 2 | 288, 988, 862, 728 |
| 2 | 144, 494, 431, 364 |
| 2 | 72, 247, 431, 182 |
| 13 | 36, 247, 431, 91 |
| 36, 19, 431, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 36 x 19 x 431 x 7 = 214617312
Therefore, the lowest common multiple of 288,988,862,728 is 214617312.
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.
288 x 988 x 862 x 728 = 178561603584
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.
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
862 : 1, 2, 431, 862
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,988,862,728, is 2.
Now, the common factors can be found like this.
288:2x 2x 2x 2x 2x 3x 3
988:2x 2x 13x 19
862:2x 431
728:2x 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 13 = 416
Therefore, the value for common factors is 416.
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 = 178561603584/(2x416)
LCM = 178561603584/832
LCM = 214617312
Thus, we can understand that the LCM of 288,988,862,728 is 214617312.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 288, 988, 862, 728
1. What is the LCM of 288, 988, 862, 728?
Answer: LCM of 288, 988, 862, 728 is 214617312.
2. How to calculate the LCM of 288, 988, 862, 728?
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 288, 988, 862, 728.
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}.