LCM of 202, 325, 972, 922, 540
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 202, 325, 972, 922, 540 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 202, 325, 972, 922, 540. So, keep reading to learn more.
Given numbers are 202,325,972,922,540
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 202,325,972,922,540 is 14708619900.
Find LCM of 202,325,972,922,540 with Prime Factorization
| 2 | 202, 325, 972, 922, 540 |
| 2 | 101, 325, 486, 461, 270 |
| 3 | 101, 325, 243, 461, 135 |
| 3 | 101, 325, 81, 461, 45 |
| 3 | 101, 325, 27, 461, 15 |
| 5 | 101, 325, 9, 461, 5 |
| 101, 65, 9, 461, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 101 x 65 x 9 x 461 x 1 = 14708619900
Therefore, the lowest common multiple of 202,325,972,922,540 is 14708619900.
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.
202 x 325 x 972 x 922 x 540 = 31770618984000
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.
202 : 1, 2, 101, 202
325 : 1, 5, 13, 25, 65, 325
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
922 : 1, 2, 461, 922
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 202,325,972,922,540, is 1.
Now, the common factors can be found like this.
202:2x 101
325:5x 5x 13
972:2x 2x 3x 3x 3x 3x 3
922:2x 461
540:2x 2x 3x 3x 3x 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 2x 2x 2x 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 31770618984000/(1x2160)
LCM = 31770618984000/2160
LCM = 14708619900
Thus, we can understand that the LCM of 202,325,972,922,540 is 14708619900.
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FAQs on LCM of 202, 325, 972, 922, 540
1. What is the LCM of 202, 325, 972, 922, 540?
Answer: LCM of 202, 325, 972, 922, 540 is 14708619900.
2. How to calculate the LCM of 202, 325, 972, 922, 540?
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 202, 325, 972, 922, 540.
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}.