LCM of 248, 159, 870, 493, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 248, 159, 870, 493, 496 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 248, 159, 870, 493, 496. So, keep reading to learn more.
Given numbers are 248,159,870,493,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,159,870,493,496 is 194399760.
Find LCM of 248,159,870,493,496 with Prime Factorization
| 2 | 248, 159, 870, 493, 496 |
| 2 | 124, 159, 435, 493, 248 |
| 2 | 62, 159, 435, 493, 124 |
| 3 | 31, 159, 435, 493, 62 |
| 29 | 31, 53, 145, 493, 62 |
| 31 | 31, 53, 5, 17, 62 |
| 1, 53, 5, 17, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 31 x 1 x 53 x 5 x 17 x 2 = 194399760
Therefore, the lowest common multiple of 248,159,870,493,496 is 194399760.
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.
248 x 159 x 870 x 493 x 496 = 8388738443520
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
159 : 1, 3, 53, 159
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
493 : 1, 17, 29, 493
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,159,870,493,496, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
159:3x 53
870:2x 3x 5x 29
493:17x 29
496:2x 2x 2x 2x 31
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 29x 31 = 43152
Therefore, the value for common factors is 43152.
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 = 8388738443520/(1x43152)
LCM = 8388738443520/43152
LCM = 194399760
Thus, we can understand that the LCM of 248,159,870,493,496 is 194399760.
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FAQs on LCM of 248, 159, 870, 493, 496
1. What is the LCM of 248, 159, 870, 493, 496?
Answer: LCM of 248, 159, 870, 493, 496 is 194399760.
2. How to calculate the LCM of 248, 159, 870, 493, 496?
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 248, 159, 870, 493, 496.
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}.