Find the LCM of 655, 478, 899, 977, 338 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 655, 478, 899, 977, 338. So, keep reading to learn more.
Given numbers are 655,478,899,977,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,478,899,977,338 is 46474011023830.
Find LCM of 655,478,899,977,338 with Prime Factorization
2 | 655, 478, 899, 977, 338 |
655, 239, 899, 977, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 655 x 239 x 899 x 977 x 169 = 46474011023830
Therefore, the lowest common multiple of 655,478,899,977,338 is 46474011023830.
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.
655 x 478 x 899 x 977 x 338 = 92948022047660
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.
655 : 1, 5, 131, 655
478 : 1, 2, 239, 478
899 : 1, 29, 31, 899
977 : 1, 977
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,478,899,977,338, is 1.
Now, the common factors can be found like this.
655:5x 131
478:2x 239
899:29x 31
977:977
338:2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 92948022047660/(1x2)
LCM = 92948022047660/2
LCM = 46474011023830
Thus, we can understand that the LCM of 655,478,899,977,338 is 46474011023830.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 478, 899, 977, 338?
Answer: LCM of 655, 478, 899, 977, 338 is 46474011023830.
2. How to calculate the LCM of 655, 478, 899, 977, 338?
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 655, 478, 899, 977, 338.
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}.