LCM of 993, 299, 480, 310, 528
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 299, 480, 310, 528 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 993, 299, 480, 310, 528. So, keep reading to learn more.
Given numbers are 993,299,480,310,528
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,299,480,310,528 is 16199245920.
Find LCM of 993,299,480,310,528 with Prime Factorization
| 2 | 993, 299, 480, 310, 528 |
| 2 | 993, 299, 240, 155, 264 |
| 2 | 993, 299, 120, 155, 132 |
| 2 | 993, 299, 60, 155, 66 |
| 3 | 993, 299, 30, 155, 33 |
| 5 | 331, 299, 10, 155, 11 |
| 331, 299, 2, 31, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 331 x 299 x 2 x 31 x 11 = 16199245920
Therefore, the lowest common multiple of 993,299,480,310,528 is 16199245920.
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.
993 x 299 x 480 x 310 x 528 = 23326914124800
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.
993 : 1, 3, 331, 993
299 : 1, 13, 23, 299
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
310 : 1, 2, 5, 10, 31, 62, 155, 310
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,299,480,310,528, is 1.
Now, the common factors can be found like this.
993:3x 331
299:13x 23
480:2x 2x 2x 2x 2x 3x 5
310:2x 5x 31
528:2x 2x 2x 2x 3x 11
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 5 = 1440
Therefore, the value for common factors is 1440.
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 = 23326914124800/(1x1440)
LCM = 23326914124800/1440
LCM = 16199245920
Thus, we can understand that the LCM of 993,299,480,310,528 is 16199245920.
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FAQs on LCM of 993, 299, 480, 310, 528
1. What is the LCM of 993, 299, 480, 310, 528?
Answer: LCM of 993, 299, 480, 310, 528 is 16199245920.
2. How to calculate the LCM of 993, 299, 480, 310, 528?
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 993, 299, 480, 310, 528.
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}.