LCM of 497, 733, 600, 504, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 733, 600, 504, 684 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, 733, 600, 504, 684. So, keep reading to learn more.
Given numbers are 497,733,600,504,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,733,600,504,684 is 12459094200.
Find LCM of 497,733,600,504,684 with Prime Factorization
| 2 | 497, 733, 600, 504, 684 |
| 2 | 497, 733, 300, 252, 342 |
| 2 | 497, 733, 150, 126, 171 |
| 3 | 497, 733, 75, 63, 171 |
| 3 | 497, 733, 25, 21, 57 |
| 7 | 497, 733, 25, 7, 19 |
| 71, 733, 25, 1, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 71 x 733 x 25 x 1 x 19 = 12459094200
Therefore, the lowest common multiple of 497,733,600,504,684 is 12459094200.
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 733 x 600 x 504 x 684 = 75352601721600
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
733 : 1, 733
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,733,600,504,684, is 1.
Now, the common factors can be found like this.
497:7x 71
733:733
600:2x 2x 2x 3x 5x 5
504:2x 2x 2x 3x 3x 7
684:2x 2x 3x 3x 19
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 2x 2x 3x 3x 3x 7 = 6048
Therefore, the value for common factors is 6048.
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 = 75352601721600/(1x6048)
LCM = 75352601721600/6048
LCM = 12459094200
Thus, we can understand that the LCM of 497,733,600,504,684 is 12459094200.
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FAQs on LCM of 497, 733, 600, 504, 684
1. What is the LCM of 497, 733, 600, 504, 684?
Answer: LCM of 497, 733, 600, 504, 684 is 12459094200.
2. How to calculate the LCM of 497, 733, 600, 504, 684?
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, 733, 600, 504, 684.
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}.