LCM of 540, 855, 902, 337, 225
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 855, 902, 337, 225 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 540, 855, 902, 337, 225. So, keep reading to learn more.
Given numbers are 540,855,902,337,225
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,855,902,337,225 is 7796933100.
Find LCM of 540,855,902,337,225 with Prime Factorization
| 2 | 540, 855, 902, 337, 225 |
| 3 | 270, 855, 451, 337, 225 |
| 3 | 90, 285, 451, 337, 75 |
| 5 | 30, 95, 451, 337, 25 |
| 6, 19, 451, 337, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 6 x 19 x 451 x 337 x 5 = 7796933100
Therefore, the lowest common multiple of 540,855,902,337,225 is 7796933100.
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.
540 x 855 x 902 x 337 x 225 = 31577579055000
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
902 : 1, 2, 11, 22, 41, 82, 451, 902
337 : 1, 337
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,855,902,337,225, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
855:3x 3x 5x 19
902:2x 11x 41
337:337
225:3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 5x 5 = 4050
Therefore, the value for common factors is 4050.
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 = 31577579055000/(1x4050)
LCM = 31577579055000/4050
LCM = 7796933100
Thus, we can understand that the LCM of 540,855,902,337,225 is 7796933100.
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FAQs on LCM of 540, 855, 902, 337, 225
1. What is the LCM of 540, 855, 902, 337, 225?
Answer: LCM of 540, 855, 902, 337, 225 is 7796933100.
2. How to calculate the LCM of 540, 855, 902, 337, 225?
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 540, 855, 902, 337, 225.
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}.