LCM of 225, 190, 178, 120, 750
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 190, 178, 120, 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 225, 190, 178, 120, 750. So, keep reading to learn more.
Given numbers are 225,190,178,120,750
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,190,178,120,750 is 15219000.
Find LCM of 225,190,178,120,750 with Prime Factorization
| 2 | 225, 190, 178, 120, 750 |
| 3 | 225, 95, 89, 60, 375 |
| 5 | 75, 95, 89, 20, 125 |
| 5 | 15, 19, 89, 4, 25 |
| 3, 19, 89, 4, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 3 x 19 x 89 x 4 x 5 = 15219000
Therefore, the lowest common multiple of 225,190,178,120,750 is 15219000.
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.
225 x 190 x 178 x 120 x 750 = 684855000000
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
190 : 1, 2, 5, 10, 19, 38, 95, 190
178 : 1, 2, 89, 178
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
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 225,190,178,120,750, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
190:2x 5x 19
178:2x 89
120:2x 2x 2x 3x 5
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 2x 2x 3x 3x 5x 5x 5x 5 = 45000
Therefore, the value for common factors is 45000.
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 = 684855000000/(1x45000)
LCM = 684855000000/45000
LCM = 15219000
Thus, we can understand that the LCM of 225,190,178,120,750 is 15219000.
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FAQs on LCM of 225, 190, 178, 120, 750
1. What is the LCM of 225, 190, 178, 120, 750?
Answer: LCM of 225, 190, 178, 120, 750 is 15219000.
2. How to calculate the LCM of 225, 190, 178, 120, 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 225, 190, 178, 120, 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}.