LCM of 230, 240, 612, 900, 734
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 240, 612, 900, 734 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 230, 240, 612, 900, 734. So, keep reading to learn more.
Given numbers are 230,240,612,900,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,240,612,900,734 is 516589200.
Find LCM of 230,240,612,900,734 with Prime Factorization
| 2 | 230, 240, 612, 900, 734 |
| 2 | 115, 120, 306, 450, 367 |
| 3 | 115, 60, 153, 225, 367 |
| 3 | 115, 20, 51, 75, 367 |
| 5 | 115, 20, 17, 25, 367 |
| 23, 4, 17, 5, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 23 x 4 x 17 x 5 x 367 = 516589200
Therefore, the lowest common multiple of 230,240,612,900,734 is 516589200.
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.
230 x 240 x 612 x 900 x 734 = 22316653440000
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
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
734 : 1, 2, 367, 734
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,240,612,900,734, is 2.
Now, the common factors can be found like this.
230:2x 5x 23
240:2x 2x 2x 2x 3x 5
612:2x 2x 3x 3x 17
900:2x 2x 3x 3x 5x 5
734:2x 367
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 3x 3x 3x 5x 5 = 21600
Therefore, the value for common factors is 21600.
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 = 22316653440000/(2x21600)
LCM = 22316653440000/43200
LCM = 516589200
Thus, we can understand that the LCM of 230,240,612,900,734 is 516589200.
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FAQs on LCM of 230, 240, 612, 900, 734
1. What is the LCM of 230, 240, 612, 900, 734?
Answer: LCM of 230, 240, 612, 900, 734 is 516589200.
2. How to calculate the LCM of 230, 240, 612, 900, 734?
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 230, 240, 612, 900, 734.
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}.