LCM of 572, 540, 956, 345, 393
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 540, 956, 345, 393 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 572, 540, 956, 345, 393. So, keep reading to learn more.
Given numbers are 572,540,956,345,393
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,540,956,345,393 is 55606662540.
Find LCM of 572,540,956,345,393 with Prime Factorization
| 2 | 572, 540, 956, 345, 393 |
| 2 | 286, 270, 478, 345, 393 |
| 3 | 143, 135, 239, 345, 393 |
| 5 | 143, 45, 239, 115, 131 |
| 143, 9, 239, 23, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 143 x 9 x 239 x 23 x 131 = 55606662540
Therefore, the lowest common multiple of 572,540,956,345,393 is 55606662540.
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.
572 x 540 x 956 x 345 x 393 = 40036797028800
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
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
956 : 1, 2, 4, 239, 478, 956
345 : 1, 3, 5, 15, 23, 69, 115, 345
393 : 1, 3, 131, 393
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,540,956,345,393, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
540:2x 2x 3x 3x 3x 5
956:2x 2x 239
345:3x 5x 23
393:3x 131
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 5 = 720
Therefore, the value for common factors is 720.
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 = 40036797028800/(1x720)
LCM = 40036797028800/720
LCM = 55606662540
Thus, we can understand that the LCM of 572,540,956,345,393 is 55606662540.
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FAQs on LCM of 572, 540, 956, 345, 393
1. What is the LCM of 572, 540, 956, 345, 393?
Answer: LCM of 572, 540, 956, 345, 393 is 55606662540.
2. How to calculate the LCM of 572, 540, 956, 345, 393?
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 572, 540, 956, 345, 393.
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}.