LCM of 753, 393, 449, 989, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 753, 393, 449, 989, 561 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 753, 393, 449, 989, 561. So, keep reading to learn more.
Given numbers are 753,393,449,989,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 753,393,449,989,561 is 8191256224701.
Find LCM of 753,393,449,989,561 with Prime Factorization
| 3 | 753, 393, 449, 989, 561 |
| 251, 131, 449, 989, 187 |
Multiply the prime numbers at the bottom and the left side.
3 x 251 x 131 x 449 x 989 x 187 = 8191256224701
Therefore, the lowest common multiple of 753,393,449,989,561 is 8191256224701.
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.
753 x 393 x 449 x 989 x 561 = 73721306022309
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.
753 : 1, 3, 251, 753
393 : 1, 3, 131, 393
449 : 1, 449
989 : 1, 23, 43, 989
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 753,393,449,989,561, is 1.
Now, the common factors can be found like this.
753:3x 251
393:3x 131
449:449
989:23x 43
561:3x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 73721306022309/(1x9)
LCM = 73721306022309/9
LCM = 8191256224701
Thus, we can understand that the LCM of 753,393,449,989,561 is 8191256224701.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 753, 393, 449, 989, 561
1. What is the LCM of 753, 393, 449, 989, 561?
Answer: LCM of 753, 393, 449, 989, 561 is 8191256224701.
2. How to calculate the LCM of 753, 393, 449, 989, 561?
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 753, 393, 449, 989, 561.
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}.