LCM of 988, 750, 585, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 988, 750, 585, 105 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, 750, 585, 105. So, keep reading to learn more.
Given numbers are 988,750,585,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 988,750,585,105 is 7780500.
Find LCM of 988,750,585,105 with Prime Factorization
| 2 | 988, 750, 585, 105 |
| 3 | 494, 375, 585, 105 |
| 5 | 494, 125, 195, 35 |
| 13 | 494, 25, 39, 7 |
| 38, 25, 3, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 38 x 25 x 3 x 7 = 7780500
Therefore, the lowest common multiple of 988,750,585,105 is 7780500.
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 750 x 585 x 105 = 45515925000
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
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,750,585,105, is 1.
Now, the common factors can be found like this.
988:2x 2x 13x 19
750:2x 3x 5x 5x 5
585:3x 3x 5x 13
105:3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 13 = 5850
Therefore, the value for common factors is 5850.
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 = 45515925000/(1x5850)
LCM = 45515925000/5850
LCM = 7780500
Thus, we can understand that the LCM of 988,750,585,105 is 7780500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 988, 750, 585, 105
1. What is the LCM of 988, 750, 585, 105?
Answer: LCM of 988, 750, 585, 105 is 7780500.
2. How to calculate the LCM of 988, 750, 585, 105?
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, 750, 585, 105.
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}.