LCM of 322, 297, 690, 903, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 322, 297, 690, 903, 138 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 322, 297, 690, 903, 138. So, keep reading to learn more.
Given numbers are 322,297,690,903,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 322,297,690,903,138 is 20561310.
Find LCM of 322,297,690,903,138 with Prime Factorization
| 2 | 322, 297, 690, 903, 138 |
| 3 | 161, 297, 345, 903, 69 |
| 7 | 161, 99, 115, 301, 23 |
| 23 | 23, 99, 115, 43, 23 |
| 1, 99, 5, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 1 x 99 x 5 x 43 x 1 = 20561310
Therefore, the lowest common multiple of 322,297,690,903,138 is 20561310.
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.
322 x 297 x 690 x 903 x 138 = 8222961340440
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.
322 : 1, 2, 7, 14, 23, 46, 161, 322
297 : 1, 3, 9, 11, 27, 33, 99, 297
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
903 : 1, 3, 7, 21, 43, 129, 301, 903
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,297,690,903,138, is 1.
Now, the common factors can be found like this.
322:2x 7x 23
297:3x 3x 3x 11
690:2x 3x 5x 23
903:3x 7x 43
138:2x 3x 23
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 3x 3x 3x 7x 23x 23 = 399924
Therefore, the value for common factors is 399924.
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 = 8222961340440/(1x399924)
LCM = 8222961340440/399924
LCM = 20561310
Thus, we can understand that the LCM of 322,297,690,903,138 is 20561310.
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FAQs on LCM of 322, 297, 690, 903, 138
1. What is the LCM of 322, 297, 690, 903, 138?
Answer: LCM of 322, 297, 690, 903, 138 is 20561310.
2. How to calculate the LCM of 322, 297, 690, 903, 138?
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 322, 297, 690, 903, 138.
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}.