LCM of 310, 744, 495, 494, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 310, 744, 495, 494, 500 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 310, 744, 495, 494, 500. So, keep reading to learn more.
Given numbers are 310,744,495,494,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,744,495,494,500 is 758043000.
Find LCM of 310,744,495,494,500 with Prime Factorization
| 2 | 310, 744, 495, 494, 500 |
| 2 | 155, 372, 495, 247, 250 |
| 3 | 155, 186, 495, 247, 125 |
| 5 | 155, 62, 165, 247, 125 |
| 31 | 31, 62, 33, 247, 25 |
| 1, 2, 33, 247, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 1 x 2 x 33 x 247 x 25 = 758043000
Therefore, the lowest common multiple of 310,744,495,494,500 is 758043000.
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.
310 x 744 x 495 x 494 x 500 = 28199199600000
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
494 : 1, 2, 13, 19, 26, 38, 247, 494
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,744,495,494,500, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
744:2x 2x 2x 3x 31
495:3x 3x 5x 11
494:2x 13x 19
500:2x 2x 5x 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 2x 2x 2x 3x 5x 5x 31 = 37200
Therefore, the value for common factors is 37200.
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 = 28199199600000/(1x37200)
LCM = 28199199600000/37200
LCM = 758043000
Thus, we can understand that the LCM of 310,744,495,494,500 is 758043000.
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FAQs on LCM of 310, 744, 495, 494, 500
1. What is the LCM of 310, 744, 495, 494, 500?
Answer: LCM of 310, 744, 495, 494, 500 is 758043000.
2. How to calculate the LCM of 310, 744, 495, 494, 500?
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 310, 744, 495, 494, 500.
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}.