LCM of 498, 752, 520, 494, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 752, 520, 494, 675 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 498, 752, 520, 494, 675. So, keep reading to learn more.
Given numbers are 498,752,520,494,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,752,520,494,675 is 10406307600.
Find LCM of 498,752,520,494,675 with Prime Factorization
| 2 | 498, 752, 520, 494, 675 |
| 2 | 249, 376, 260, 247, 675 |
| 2 | 249, 188, 130, 247, 675 |
| 3 | 249, 94, 65, 247, 675 |
| 5 | 83, 94, 65, 247, 225 |
| 13 | 83, 94, 13, 247, 45 |
| 83, 94, 1, 19, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 83 x 94 x 1 x 19 x 45 = 10406307600
Therefore, the lowest common multiple of 498,752,520,494,675 is 10406307600.
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.
498 x 752 x 520 x 494 x 675 = 64935359424000
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
494 : 1, 2, 13, 19, 26, 38, 247, 494
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,752,520,494,675, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
752:2x 2x 2x 2x 47
520:2x 2x 2x 5x 13
494:2x 13x 19
675:3x 3x 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 2x 2x 2x 2x 3x 5x 13 = 6240
Therefore, the value for common factors is 6240.
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 = 64935359424000/(1x6240)
LCM = 64935359424000/6240
LCM = 10406307600
Thus, we can understand that the LCM of 498,752,520,494,675 is 10406307600.
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FAQs on LCM of 498, 752, 520, 494, 675
1. What is the LCM of 498, 752, 520, 494, 675?
Answer: LCM of 498, 752, 520, 494, 675 is 10406307600.
2. How to calculate the LCM of 498, 752, 520, 494, 675?
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 498, 752, 520, 494, 675.
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}.