LCM of 900, 757, 585, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 757, 585, 750 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 900, 757, 585, 750. So, keep reading to learn more.
Given numbers are 900,757,585,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,757,585,750 is 44284500.
Find LCM of 900,757,585,750 with Prime Factorization
| 2 | 900, 757, 585, 750 |
| 3 | 450, 757, 585, 375 |
| 3 | 150, 757, 195, 125 |
| 5 | 50, 757, 65, 125 |
| 5 | 10, 757, 13, 25 |
| 2, 757, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 2 x 757 x 13 x 5 = 44284500
Therefore, the lowest common multiple of 900,757,585,750 is 44284500.
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.
900 x 757 x 585 x 750 = 298920375000
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
757 : 1, 757
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,757,585,750, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
757:757
585:3x 3x 5x 13
750:2x 3x 5x 5x 5
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 3x 5x 5x 5 = 6750
Therefore, the value for common factors is 6750.
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 = 298920375000/(1x6750)
LCM = 298920375000/6750
LCM = 44284500
Thus, we can understand that the LCM of 900,757,585,750 is 44284500.
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FAQs on LCM of 900, 757, 585, 750
1. What is the LCM of 900, 757, 585, 750?
Answer: LCM of 900, 757, 585, 750 is 44284500.
2. How to calculate the LCM of 900, 757, 585, 750?
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 900, 757, 585, 750.
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}.