LCM of 497, 762, 100, 405, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 762, 100, 405, 450 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 497, 762, 100, 405, 450. So, keep reading to learn more.
Given numbers are 497,762,100,405,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,762,100,405,450 is 511263900.
Find LCM of 497,762,100,405,450 with Prime Factorization
| 2 | 497, 762, 100, 405, 450 |
| 3 | 497, 381, 50, 405, 225 |
| 3 | 497, 127, 50, 135, 75 |
| 5 | 497, 127, 50, 45, 25 |
| 5 | 497, 127, 10, 9, 5 |
| 497, 127, 2, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 497 x 127 x 2 x 9 x 1 = 511263900
Therefore, the lowest common multiple of 497,762,100,405,450 is 511263900.
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.
497 x 762 x 100 x 405 x 450 = 6902062650000
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.
497 : 1, 7, 71, 497
762 : 1, 2, 3, 6, 127, 254, 381, 762
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,762,100,405,450, is 1.
Now, the common factors can be found like this.
497:7x 71
762:2x 3x 127
100:2x 2x 5x 5
405:3x 3x 3x 3x 5
450:2x 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 2x 3x 3x 3x 5x 5x 5 = 13500
Therefore, the value for common factors is 13500.
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 = 6902062650000/(1x13500)
LCM = 6902062650000/13500
LCM = 511263900
Thus, we can understand that the LCM of 497,762,100,405,450 is 511263900.
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FAQs on LCM of 497, 762, 100, 405, 450
1. What is the LCM of 497, 762, 100, 405, 450?
Answer: LCM of 497, 762, 100, 405, 450 is 511263900.
2. How to calculate the LCM of 497, 762, 100, 405, 450?
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 497, 762, 100, 405, 450.
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}.