LCM of 363, 339, 531, 630, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 339, 531, 630, 600 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 363, 339, 531, 630, 600. So, keep reading to learn more.
Given numbers are 363,339,531,630,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,339,531,630,600 is 10164508200.
Find LCM of 363,339,531,630,600 with Prime Factorization
| 2 | 363, 339, 531, 630, 600 |
| 3 | 363, 339, 531, 315, 300 |
| 3 | 121, 113, 177, 105, 100 |
| 5 | 121, 113, 59, 35, 100 |
| 121, 113, 59, 7, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 121 x 113 x 59 x 7 x 20 = 10164508200
Therefore, the lowest common multiple of 363,339,531,630,600 is 10164508200.
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.
363 x 339 x 531 x 630 x 600 = 24699754926000
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.
363 : 1, 3, 11, 33, 121, 363
339 : 1, 3, 113, 339
531 : 1, 3, 9, 59, 177, 531
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,339,531,630,600, is 3.
Now, the common factors can be found like this.
363:3x 11x 11
339:3x 113
531:3x 3x 59
630:2x 3x 3x 5x 7
600:2x 2x 2x 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 3x 3x 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 24699754926000/(3x810)
LCM = 24699754926000/2430
LCM = 10164508200
Thus, we can understand that the LCM of 363,339,531,630,600 is 10164508200.
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FAQs on LCM of 363, 339, 531, 630, 600
1. What is the LCM of 363, 339, 531, 630, 600?
Answer: LCM of 363, 339, 531, 630, 600 is 10164508200.
2. How to calculate the LCM of 363, 339, 531, 630, 600?
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 363, 339, 531, 630, 600.
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}.