LCM of 389, 375, 750, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 389, 375, 750, 900 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 389, 375, 750, 900. So, keep reading to learn more.
Given numbers are 389,375,750,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,375,750,900 is 1750500.
Find LCM of 389,375,750,900 with Prime Factorization
| 2 | 389, 375, 750, 900 |
| 3 | 389, 375, 375, 450 |
| 5 | 389, 125, 125, 150 |
| 5 | 389, 25, 25, 30 |
| 5 | 389, 5, 5, 6 |
| 389, 1, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 5 x 389 x 1 x 1 x 6 = 1750500
Therefore, the lowest common multiple of 389,375,750,900 is 1750500.
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.
389 x 375 x 750 x 900 = 98465625000
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.
389 : 1, 389
375 : 1, 3, 5, 15, 25, 75, 125, 375
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,375,750,900, is 1.
Now, the common factors can be found like this.
389:389
375:3x 5x 5x 5
750:2x 3x 5x 5x 5
900:2x 2x 3x 3x 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 5x 5x 5x 5x 5 = 56250
Therefore, the value for common factors is 56250.
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 = 98465625000/(1x56250)
LCM = 98465625000/56250
LCM = 1750500
Thus, we can understand that the LCM of 389,375,750,900 is 1750500.
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FAQs on LCM of 389, 375, 750, 900
1. What is the LCM of 389, 375, 750, 900?
Answer: LCM of 389, 375, 750, 900 is 1750500.
2. How to calculate the LCM of 389, 375, 750, 900?
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 389, 375, 750, 900.
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}.