LCM of 523, 663, 800, 148, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 523, 663, 800, 148, 533 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 523, 663, 800, 148, 533. So, keep reading to learn more.
Given numbers are 523,663,800,148,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 523,663,800,148,533 is 420814586400.
Find LCM of 523,663,800,148,533 with Prime Factorization
| 2 | 523, 663, 800, 148, 533 |
| 2 | 523, 663, 400, 74, 533 |
| 13 | 523, 663, 200, 37, 533 |
| 523, 51, 200, 37, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 523 x 51 x 200 x 37 x 41 = 420814586400
Therefore, the lowest common multiple of 523,663,800,148,533 is 420814586400.
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.
523 x 663 x 800 x 148 x 533 = 21882358492800
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.
523 : 1, 523
663 : 1, 3, 13, 17, 39, 51, 221, 663
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
148 : 1, 2, 4, 37, 74, 148
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,663,800,148,533, is 1.
Now, the common factors can be found like this.
523:523
663:3x 13x 17
800:2x 2x 2x 2x 2x 5x 5
148:2x 2x 37
533:13x 41
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 13 = 52
Therefore, the value for common factors is 52.
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 = 21882358492800/(1x52)
LCM = 21882358492800/52
LCM = 420814586400
Thus, we can understand that the LCM of 523,663,800,148,533 is 420814586400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 523, 663, 800, 148, 533
1. What is the LCM of 523, 663, 800, 148, 533?
Answer: LCM of 523, 663, 800, 148, 533 is 420814586400.
2. How to calculate the LCM of 523, 663, 800, 148, 533?
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 523, 663, 800, 148, 533.
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}.