Find the LCM of 163, 990, 340, 520, 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 163, 990, 340, 520, 496. So, keep reading to learn more.
Given numbers are 163,990,340,520,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 163,990,340,520,496 is 8844366960.
Find LCM of 163,990,340,520,496 with Prime Factorization
2 | 163, 990, 340, 520, 496 |
2 | 163, 495, 170, 260, 248 |
2 | 163, 495, 85, 130, 124 |
5 | 163, 495, 85, 65, 62 |
163, 99, 17, 13, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 163 x 99 x 17 x 13 x 62 = 8844366960
Therefore, the lowest common multiple of 163,990,340,520,496 is 8844366960.
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.
163 x 990 x 340 x 520 x 496 = 14150987136000
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.
163 : 1, 163
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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 163,990,340,520,496, is 1.
Now, the common factors can be found like this.
163:163
990:2x 3x 3x 5x 11
340:2x 2x 5x 17
520:2x 2x 2x 5x 13
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 2x 2x 5x 5 = 1600
Therefore, the value for common factors is 1600.
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 = 14150987136000/(1x1600)
LCM = 14150987136000/1600
LCM = 8844366960
Thus, we can understand that the LCM of 163,990,340,520,496 is 8844366960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 163, 990, 340, 520, 496?
Answer: LCM of 163, 990, 340, 520, 496 is 8844366960.
2. How to calculate the LCM of 163, 990, 340, 520, 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 163, 990, 340, 520, 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}.