LCM of 504, 353, 300, 497, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 353, 300, 497, 733 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 504, 353, 300, 497, 733. So, keep reading to learn more.
Given numbers are 504,353,300,497,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,353,300,497,733 is 231476855400.
Find LCM of 504,353,300,497,733 with Prime Factorization
| 2 | 504, 353, 300, 497, 733 |
| 2 | 252, 353, 150, 497, 733 |
| 3 | 126, 353, 75, 497, 733 |
| 7 | 42, 353, 25, 497, 733 |
| 6, 353, 25, 71, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 6 x 353 x 25 x 71 x 733 = 231476855400
Therefore, the lowest common multiple of 504,353,300,497,733 is 231476855400.
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.
504 x 353 x 300 x 497 x 733 = 19444055853600
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.
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
353 : 1, 353
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
497 : 1, 7, 71, 497
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,353,300,497,733, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
353:353
300:2x 2x 3x 5x 5
497:7x 71
733:733
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 7 = 84
Therefore, the value for common factors is 84.
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 = 19444055853600/(1x84)
LCM = 19444055853600/84
LCM = 231476855400
Thus, we can understand that the LCM of 504,353,300,497,733 is 231476855400.
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FAQs on LCM of 504, 353, 300, 497, 733
1. What is the LCM of 504, 353, 300, 497, 733?
Answer: LCM of 504, 353, 300, 497, 733 is 231476855400.
2. How to calculate the LCM of 504, 353, 300, 497, 733?
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 504, 353, 300, 497, 733.
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}.