Find the LCM of 916, 977, 663, 533 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 916, 977, 663, 533. So, keep reading to learn more.
Given numbers are 916,977,663,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 916,977,663,533 is 24326936556.
Find LCM of 916,977,663,533 with Prime Factorization
13 | 916, 977, 663, 533 |
916, 977, 51, 41 |
Multiply the prime numbers at the bottom and the left side.
13 x 916 x 977 x 51 x 41 = 24326936556
Therefore, the lowest common multiple of 916,977,663,533 is 24326936556.
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.
916 x 977 x 663 x 533 = 316250175228
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.
916 : 1, 2, 4, 229, 458, 916
977 : 1, 977
663 : 1, 3, 13, 17, 39, 51, 221, 663
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 916,977,663,533, is 1.
Now, the common factors can be found like this.
916:2x 2x 229
977:977
663:3x 13x 17
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 316250175228/(1x13)
LCM = 316250175228/13
LCM = 24326936556
Thus, we can understand that the LCM of 916,977,663,533 is 24326936556.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 916, 977, 663, 533?
Answer: LCM of 916, 977, 663, 533 is 24326936556.
2. How to calculate the LCM of 916, 977, 663, 533?
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 916, 977, 663, 533.
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}.