LCM of 249, 900, 268, 306, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 249, 900, 268, 306, 326 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 249, 900, 268, 306, 326. So, keep reading to learn more.
Given numbers are 249,900,268,306,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,900,268,306,326 is 13868577900.
Find LCM of 249,900,268,306,326 with Prime Factorization
| 2 | 249, 900, 268, 306, 326 |
| 2 | 249, 450, 134, 153, 163 |
| 3 | 249, 225, 67, 153, 163 |
| 3 | 83, 75, 67, 51, 163 |
| 83, 25, 67, 17, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 83 x 25 x 67 x 17 x 163 = 13868577900
Therefore, the lowest common multiple of 249,900,268,306,326 is 13868577900.
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.
249 x 900 x 268 x 306 x 326 = 5991225652800
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.
249 : 1, 3, 83, 249
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
268 : 1, 2, 4, 67, 134, 268
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,900,268,306,326, is 1.
Now, the common factors can be found like this.
249:3x 83
900:2x 2x 3x 3x 5x 5
268:2x 2x 67
306:2x 3x 3x 17
326:2x 163
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 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 5991225652800/(1x432)
LCM = 5991225652800/432
LCM = 13868577900
Thus, we can understand that the LCM of 249,900,268,306,326 is 13868577900.
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FAQs on LCM of 249, 900, 268, 306, 326
1. What is the LCM of 249, 900, 268, 306, 326?
Answer: LCM of 249, 900, 268, 306, 326 is 13868577900.
2. How to calculate the LCM of 249, 900, 268, 306, 326?
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 249, 900, 268, 306, 326.
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}.