LCM of 363, 775, 990, 737, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 775, 990, 737, 548 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, 775, 990, 737, 548. So, keep reading to learn more.
Given numbers are 363,775,990,737,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,775,990,737,548 is 30987386100.
Find LCM of 363,775,990,737,548 with Prime Factorization
| 2 | 363, 775, 990, 737, 548 |
| 3 | 363, 775, 495, 737, 274 |
| 5 | 121, 775, 165, 737, 274 |
| 11 | 121, 155, 33, 737, 274 |
| 11, 155, 3, 67, 274 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 11 x 155 x 3 x 67 x 274 = 30987386100
Therefore, the lowest common multiple of 363,775,990,737,548 is 30987386100.
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 775 x 990 x 737 x 548 = 112484211543000
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
775 : 1, 5, 25, 31, 155, 775
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
737 : 1, 11, 67, 737
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,775,990,737,548, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
775:5x 5x 31
990:2x 3x 3x 5x 11
737:11x 67
548:2x 2x 137
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 5x 11x 11 = 3630
Therefore, the value for common factors is 3630.
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 = 112484211543000/(1x3630)
LCM = 112484211543000/3630
LCM = 30987386100
Thus, we can understand that the LCM of 363,775,990,737,548 is 30987386100.
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FAQs on LCM of 363, 775, 990, 737, 548
1. What is the LCM of 363, 775, 990, 737, 548?
Answer: LCM of 363, 775, 990, 737, 548 is 30987386100.
2. How to calculate the LCM of 363, 775, 990, 737, 548?
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, 775, 990, 737, 548.
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}.