LCM of 496, 736, 920, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 736, 920, 814 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 496, 736, 920, 814. So, keep reading to learn more.
Given numbers are 496,736,920,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,736,920,814 is 46430560.
Find LCM of 496,736,920,814 with Prime Factorization
| 2 | 496, 736, 920, 814 |
| 2 | 248, 368, 460, 407 |
| 2 | 124, 184, 230, 407 |
| 2 | 62, 92, 115, 407 |
| 23 | 31, 46, 115, 407 |
| 31, 2, 5, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 31 x 2 x 5 x 407 = 46430560
Therefore, the lowest common multiple of 496,736,920,814 is 46430560.
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.
496 x 736 x 920 x 814 = 273383137280
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
814 : 1, 2, 11, 22, 37, 74, 407, 814
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,736,920,814, is 2.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
736:2x 2x 2x 2x 2x 23
920:2x 2x 2x 5x 23
814:2x 11x 37
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 2x 2x 23 = 2944
Therefore, the value for common factors is 2944.
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 = 273383137280/(2x2944)
LCM = 273383137280/5888
LCM = 46430560
Thus, we can understand that the LCM of 496,736,920,814 is 46430560.
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FAQs on LCM of 496, 736, 920, 814
1. What is the LCM of 496, 736, 920, 814?
Answer: LCM of 496, 736, 920, 814 is 46430560.
2. How to calculate the LCM of 496, 736, 920, 814?
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 496, 736, 920, 814.
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}.