LCM of 561, 450, 286, 970, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 561, 450, 286, 970, 803 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, 450, 286, 970, 803. So, keep reading to learn more.
Given numbers are 561,450,286,970,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,450,286,970,803 is 7746259950.
Find LCM of 561,450,286,970,803 with Prime Factorization
| 2 | 561, 450, 286, 970, 803 |
| 3 | 561, 225, 143, 485, 803 |
| 5 | 187, 75, 143, 485, 803 |
| 11 | 187, 15, 143, 97, 803 |
| 17, 15, 13, 97, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 17 x 15 x 13 x 97 x 73 = 7746259950
Therefore, the lowest common multiple of 561,450,286,970,803 is 7746259950.
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 450 x 286 x 970 x 803 = 56237847237000
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
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
286 : 1, 2, 11, 13, 22, 26, 143, 286
970 : 1, 2, 5, 10, 97, 194, 485, 970
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,450,286,970,803, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
450:2x 3x 3x 5x 5
286:2x 11x 13
970:2x 5x 97
803:11x 73
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 3x 5x 11x 11 = 7260
Therefore, the value for common factors is 7260.
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 = 56237847237000/(1x7260)
LCM = 56237847237000/7260
LCM = 7746259950
Thus, we can understand that the LCM of 561,450,286,970,803 is 7746259950.
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FAQs on LCM of 561, 450, 286, 970, 803
1. What is the LCM of 561, 450, 286, 970, 803?
Answer: LCM of 561, 450, 286, 970, 803 is 7746259950.
2. How to calculate the LCM of 561, 450, 286, 970, 803?
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, 450, 286, 970, 803.
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}.