LCM of 799, 711, 792, 240, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 711, 792, 240, 470 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 799, 711, 792, 240, 470. So, keep reading to learn more.
Given numbers are 799,711,792,240,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,711,792,240,470 is 499918320.
Find LCM of 799,711,792,240,470 with Prime Factorization
| 2 | 799, 711, 792, 240, 470 |
| 2 | 799, 711, 396, 120, 235 |
| 2 | 799, 711, 198, 60, 235 |
| 3 | 799, 711, 99, 30, 235 |
| 3 | 799, 237, 33, 10, 235 |
| 5 | 799, 79, 11, 10, 235 |
| 47 | 799, 79, 11, 2, 47 |
| 17, 79, 11, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 47 x 17 x 79 x 11 x 2 x 1 = 499918320
Therefore, the lowest common multiple of 799,711,792,240,470 is 499918320.
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.
799 x 711 x 792 x 240 x 470 = 50751707846400
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.
799 : 1, 17, 47, 799
711 : 1, 3, 9, 79, 237, 711
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,711,792,240,470, is 1.
Now, the common factors can be found like this.
799:17x 47
711:3x 3x 79
792:2x 2x 2x 3x 3x 11
240:2x 2x 2x 2x 3x 5
470:2x 5x 47
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 3x 3x 5x 47 = 101520
Therefore, the value for common factors is 101520.
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 = 50751707846400/(1x101520)
LCM = 50751707846400/101520
LCM = 499918320
Thus, we can understand that the LCM of 799,711,792,240,470 is 499918320.
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FAQs on LCM of 799, 711, 792, 240, 470
1. What is the LCM of 799, 711, 792, 240, 470?
Answer: LCM of 799, 711, 792, 240, 470 is 499918320.
2. How to calculate the LCM of 799, 711, 792, 240, 470?
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 799, 711, 792, 240, 470.
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}.