LCM of 745, 414, 150, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 414, 150, 400 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 745, 414, 150, 400. So, keep reading to learn more.
Given numbers are 745,414,150,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,414,150,400 is 12337200.
Find LCM of 745,414,150,400 with Prime Factorization
| 2 | 745, 414, 150, 400 |
| 3 | 745, 207, 75, 200 |
| 5 | 745, 69, 25, 200 |
| 5 | 149, 69, 5, 40 |
| 149, 69, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 149 x 69 x 1 x 8 = 12337200
Therefore, the lowest common multiple of 745,414,150,400 is 12337200.
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.
745 x 414 x 150 x 400 = 18505800000
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.
745 : 1, 5, 149, 745
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,414,150,400, is 1.
Now, the common factors can be found like this.
745:5x 149
414:2x 3x 3x 23
150:2x 3x 5x 5
400:2x 2x 2x 2x 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 3x 5x 5x 5 = 1500
Therefore, the value for common factors is 1500.
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 = 18505800000/(1x1500)
LCM = 18505800000/1500
LCM = 12337200
Thus, we can understand that the LCM of 745,414,150,400 is 12337200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 745, 414, 150, 400
1. What is the LCM of 745, 414, 150, 400?
Answer: LCM of 745, 414, 150, 400 is 12337200.
2. How to calculate the LCM of 745, 414, 150, 400?
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 745, 414, 150, 400.
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}.