LCM of 481, 552, 863, 828, 691
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 552, 863, 828, 691 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 481, 552, 863, 828, 691. So, keep reading to learn more.
Given numbers are 481,552,863,828,691
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,552,863,828,691 is 475000702488.
Find LCM of 481,552,863,828,691 with Prime Factorization
| 2 | 481, 552, 863, 828, 691 |
| 2 | 481, 276, 863, 414, 691 |
| 3 | 481, 138, 863, 207, 691 |
| 23 | 481, 46, 863, 69, 691 |
| 481, 2, 863, 3, 691 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 481 x 2 x 863 x 3 x 691 = 475000702488
Therefore, the lowest common multiple of 481,552,863,828,691 is 475000702488.
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.
481 x 552 x 863 x 828 x 691 = 131100193886688
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.
481 : 1, 13, 37, 481
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
863 : 1, 863
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
691 : 1, 691
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,552,863,828,691, is 1.
Now, the common factors can be found like this.
481:13x 37
552:2x 2x 2x 3x 23
863:863
828:2x 2x 3x 3x 23
691:691
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 23 = 276
Therefore, the value for common factors is 276.
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 = 131100193886688/(1x276)
LCM = 131100193886688/276
LCM = 475000702488
Thus, we can understand that the LCM of 481,552,863,828,691 is 475000702488.
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FAQs on LCM of 481, 552, 863, 828, 691
1. What is the LCM of 481, 552, 863, 828, 691?
Answer: LCM of 481, 552, 863, 828, 691 is 475000702488.
2. How to calculate the LCM of 481, 552, 863, 828, 691?
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 481, 552, 863, 828, 691.
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}.