LCM of 303, 225, 615, 855, 497
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 303, 225, 615, 855, 497 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 303, 225, 615, 855, 497. So, keep reading to learn more.
Given numbers are 303,225,615,855,497
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 303,225,615,855,497 is 8798279175.
Find LCM of 303,225,615,855,497 with Prime Factorization
| 3 | 303, 225, 615, 855, 497 |
| 3 | 101, 75, 205, 285, 497 |
| 5 | 101, 25, 205, 95, 497 |
| 101, 5, 41, 19, 497 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 101 x 5 x 41 x 19 x 497 = 8798279175
Therefore, the lowest common multiple of 303,225,615,855,497 is 8798279175.
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.
303 x 225 x 615 x 855 x 497 = 17816515329375
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.
303 : 1, 3, 101, 303
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
615 : 1, 3, 5, 15, 41, 123, 205, 615
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
497 : 1, 7, 71, 497
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,225,615,855,497, is 1.
Now, the common factors can be found like this.
303:3x 101
225:3x 3x 5x 5
615:3x 5x 41
855:3x 3x 5x 19
497:7x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 5x 5 = 2025
Therefore, the value for common factors is 2025.
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 = 17816515329375/(1x2025)
LCM = 17816515329375/2025
LCM = 8798279175
Thus, we can understand that the LCM of 303,225,615,855,497 is 8798279175.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 303, 225, 615, 855, 497
1. What is the LCM of 303, 225, 615, 855, 497?
Answer: LCM of 303, 225, 615, 855, 497 is 8798279175.
2. How to calculate the LCM of 303, 225, 615, 855, 497?
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 303, 225, 615, 855, 497.
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}.