LCM of 563, 563, 540, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 563, 540, 975 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 563, 563, 540, 975. So, keep reading to learn more.
Given numbers are 563,563,540,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,563,540,975 is 19761300.
Find LCM of 563,563,540,975 with Prime Factorization
| 3 | 563, 563, 540, 975 |
| 5 | 563, 563, 180, 325 |
| 563 | 563, 563, 36, 65 |
| 1, 1, 36, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 563 x 1 x 1 x 36 x 65 = 19761300
Therefore, the lowest common multiple of 563,563,540,975 is 19761300.
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.
563 x 563 x 540 x 975 = 166884178500
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.
563 : 1, 563
563 : 1, 563
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
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,563,540,975, is 1.
Now, the common factors can be found like this.
563:563
563:563
540:2x 2x 3x 3x 3x 5
975:3x 5x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 563 = 8445
Therefore, the value for common factors is 8445.
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 = 166884178500/(1x8445)
LCM = 166884178500/8445
LCM = 19761300
Thus, we can understand that the LCM of 563,563,540,975 is 19761300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 563, 563, 540, 975
1. What is the LCM of 563, 563, 540, 975?
Answer: LCM of 563, 563, 540, 975 is 19761300.
2. How to calculate the LCM of 563, 563, 540, 975?
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 563, 563, 540, 975.
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}.