LCM of 477, 879, 519, 572, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 879, 519, 572, 663 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 477, 879, 519, 572, 663. So, keep reading to learn more.
Given numbers are 477,879,519,572,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,879,519,572,663 is 235113221772.
Find LCM of 477,879,519,572,663 with Prime Factorization
| 3 | 477, 879, 519, 572, 663 |
| 13 | 159, 293, 173, 572, 221 |
| 159, 293, 173, 44, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 159 x 293 x 173 x 44 x 17 = 235113221772
Therefore, the lowest common multiple of 477,879,519,572,663 is 235113221772.
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.
477 x 879 x 519 x 572 x 663 = 82524740841972
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.
477 : 1, 3, 9, 53, 159, 477
879 : 1, 3, 293, 879
519 : 1, 3, 173, 519
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,879,519,572,663, is 1.
Now, the common factors can be found like this.
477:3x 3x 53
879:3x 293
519:3x 173
572:2x 2x 11x 13
663:3x 13x 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 3x 3x 13 = 351
Therefore, the value for common factors is 351.
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 = 82524740841972/(1x351)
LCM = 82524740841972/351
LCM = 235113221772
Thus, we can understand that the LCM of 477,879,519,572,663 is 235113221772.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 477, 879, 519, 572, 663
1. What is the LCM of 477, 879, 519, 572, 663?
Answer: LCM of 477, 879, 519, 572, 663 is 235113221772.
2. How to calculate the LCM of 477, 879, 519, 572, 663?
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 477, 879, 519, 572, 663.
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}.