LCM of 561, 985, 441, 300, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 985, 441, 300, 657 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 561, 985, 441, 300, 657. So, keep reading to learn more.
Given numbers are 561,985,441,300,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,985,441,300,657 is 118595792700.
Find LCM of 561,985,441,300,657 with Prime Factorization
| 3 | 561, 985, 441, 300, 657 |
| 3 | 187, 985, 147, 100, 219 |
| 5 | 187, 985, 49, 100, 73 |
| 187, 197, 49, 20, 73 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 187 x 197 x 49 x 20 x 73 = 118595792700
Therefore, the lowest common multiple of 561,985,441,300,657 is 118595792700.
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.
561 x 985 x 441 x 300 x 657 = 48031296043500
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
985 : 1, 5, 197, 985
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,985,441,300,657, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
985:5x 197
441:3x 3x 7x 7
300:2x 2x 3x 5x 5
657:3x 3x 73
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 5 = 405
Therefore, the value for common factors is 405.
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 = 48031296043500/(1x405)
LCM = 48031296043500/405
LCM = 118595792700
Thus, we can understand that the LCM of 561,985,441,300,657 is 118595792700.
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FAQs on LCM of 561, 985, 441, 300, 657
1. What is the LCM of 561, 985, 441, 300, 657?
Answer: LCM of 561, 985, 441, 300, 657 is 118595792700.
2. How to calculate the LCM of 561, 985, 441, 300, 657?
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 561, 985, 441, 300, 657.
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}.