Find the LCM of 517, 844, 932, 821, 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 517, 844, 932, 821, 663. So, keep reading to learn more.
Given numbers are 517,844,932,821,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,844,932,821,663 is 55340820810132.
Find LCM of 517,844,932,821,663 with Prime Factorization
2 | 517, 844, 932, 821, 663 |
2 | 517, 422, 466, 821, 663 |
517, 211, 233, 821, 663 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 517 x 211 x 233 x 821 x 663 = 55340820810132
Therefore, the lowest common multiple of 517,844,932,821,663 is 55340820810132.
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.
517 x 844 x 932 x 821 x 663 = 221363283240528
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.
517 : 1, 11, 47, 517
844 : 1, 2, 4, 211, 422, 844
932 : 1, 2, 4, 233, 466, 932
821 : 1, 821
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 517,844,932,821,663, is 1.
Now, the common factors can be found like this.
517:11x 47
844:2x 2x 211
932:2x 2x 233
821:821
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.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 221363283240528/(1x4)
LCM = 221363283240528/4
LCM = 55340820810132
Thus, we can understand that the LCM of 517,844,932,821,663 is 55340820810132.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 517, 844, 932, 821, 663?
Answer: LCM of 517, 844, 932, 821, 663 is 55340820810132.
2. How to calculate the LCM of 517, 844, 932, 821, 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 517, 844, 932, 821, 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}.