LCM of 437, 745, 630, 814, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 745, 630, 814, 225 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 437, 745, 630, 814, 225. So, keep reading to learn more.
Given numbers are 437,745,630,814,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,745,630,814,225 is 83478121650.
Find LCM of 437,745,630,814,225 with Prime Factorization
| 2 | 437, 745, 630, 814, 225 |
| 3 | 437, 745, 315, 407, 225 |
| 3 | 437, 745, 105, 407, 75 |
| 5 | 437, 745, 35, 407, 25 |
| 437, 149, 7, 407, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 437 x 149 x 7 x 407 x 5 = 83478121650
Therefore, the lowest common multiple of 437,745,630,814,225 is 83478121650.
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.
437 x 745 x 630 x 814 x 225 = 37565154742500
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.
437 : 1, 19, 23, 437
745 : 1, 5, 149, 745
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
814 : 1, 2, 11, 22, 37, 74, 407, 814
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,745,630,814,225, is 1.
Now, the common factors can be found like this.
437:19x 23
745:5x 149
630:2x 3x 3x 5x 7
814:2x 11x 37
225:3x 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 5 = 450
Therefore, the value for common factors is 450.
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 = 37565154742500/(1x450)
LCM = 37565154742500/450
LCM = 83478121650
Thus, we can understand that the LCM of 437,745,630,814,225 is 83478121650.
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FAQs on LCM of 437, 745, 630, 814, 225
1. What is the LCM of 437, 745, 630, 814, 225?
Answer: LCM of 437, 745, 630, 814, 225 is 83478121650.
2. How to calculate the LCM of 437, 745, 630, 814, 225?
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 437, 745, 630, 814, 225.
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}.