LCM of 453, 244, 755, 387, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 453, 244, 755, 387, 448 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 453, 244, 755, 387, 448. So, keep reading to learn more.
Given numbers are 453,244,755,387,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 453,244,755,387,448 is 7984831680.
Find LCM of 453,244,755,387,448 with Prime Factorization
| 2 | 453, 244, 755, 387, 448 |
| 2 | 453, 122, 755, 387, 224 |
| 3 | 453, 61, 755, 387, 112 |
| 151 | 151, 61, 755, 129, 112 |
| 1, 61, 5, 129, 112 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 151 x 1 x 61 x 5 x 129 x 112 = 7984831680
Therefore, the lowest common multiple of 453,244,755,387,448 is 7984831680.
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.
453 x 244 x 755 x 387 x 448 = 14468515004160
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.
453 : 1, 3, 151, 453
244 : 1, 2, 4, 61, 122, 244
755 : 1, 5, 151, 755
387 : 1, 3, 9, 43, 129, 387
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,244,755,387,448, is 1.
Now, the common factors can be found like this.
453:3x 151
244:2x 2x 61
755:5x 151
387:3x 3x 43
448:2x 2x 2x 2x 2x 2x 7
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 151 = 1812
Therefore, the value for common factors is 1812.
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 = 14468515004160/(1x1812)
LCM = 14468515004160/1812
LCM = 7984831680
Thus, we can understand that the LCM of 453,244,755,387,448 is 7984831680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 453, 244, 755, 387, 448
1. What is the LCM of 453, 244, 755, 387, 448?
Answer: LCM of 453, 244, 755, 387, 448 is 7984831680.
2. How to calculate the LCM of 453, 244, 755, 387, 448?
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 453, 244, 755, 387, 448.
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}.