LCM of 210, 326, 396, 496, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 326, 396, 496, 648 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 210, 326, 396, 496, 648. So, keep reading to learn more.
Given numbers are 210,326,396,496,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,326,396,496,648 is 2521244880.
Find LCM of 210,326,396,496,648 with Prime Factorization
| 2 | 210, 326, 396, 496, 648 |
| 2 | 105, 163, 198, 248, 324 |
| 2 | 105, 163, 99, 124, 162 |
| 3 | 105, 163, 99, 62, 81 |
| 3 | 35, 163, 33, 62, 27 |
| 35, 163, 11, 62, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 35 x 163 x 11 x 62 x 9 = 2521244880
Therefore, the lowest common multiple of 210,326,396,496,648 is 2521244880.
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.
210 x 326 x 396 x 496 x 648 = 8713422305280
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
326 : 1, 2, 163, 326
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,326,396,496,648, is 2.
Now, the common factors can be found like this.
210:2x 3x 5x 7
326:2x 163
396:2x 2x 3x 3x 11
496:2x 2x 2x 2x 31
648:2x 2x 2x 3x 3x 3x 3
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 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 8713422305280/(2x1728)
LCM = 8713422305280/3456
LCM = 2521244880
Thus, we can understand that the LCM of 210,326,396,496,648 is 2521244880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 210, 326, 396, 496, 648
1. What is the LCM of 210, 326, 396, 496, 648?
Answer: LCM of 210, 326, 396, 496, 648 is 2521244880.
2. How to calculate the LCM of 210, 326, 396, 496, 648?
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 210, 326, 396, 496, 648.
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}.