Find the LCM of 977, 533, 799, 221 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 977, 533, 799, 221. So, keep reading to learn more.
Given numbers are 977,533,799,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 977,533,799,221 is 416072059.
Find LCM of 977,533,799,221 with Prime Factorization
13 | 977, 533, 799, 221 |
17 | 977, 41, 799, 17 |
977, 41, 47, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 977 x 41 x 47 x 1 = 416072059
Therefore, the lowest common multiple of 977,533,799,221 is 416072059.
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.
977 x 533 x 799 x 221 = 91951925039
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.
977 : 1, 977
533 : 1, 13, 41, 533
799 : 1, 17, 47, 799
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 977,533,799,221, is 1.
Now, the common factors can be found like this.
977:977
533:13x 41
799:17x 47
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 91951925039/(1x221)
LCM = 91951925039/221
LCM = 416072059
Thus, we can understand that the LCM of 977,533,799,221 is 416072059.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 977, 533, 799, 221?
Answer: LCM of 977, 533, 799, 221 is 416072059.
2. How to calculate the LCM of 977, 533, 799, 221?
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 977, 533, 799, 221.
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}.