Find the LCM of 362, 949, 365, 277 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 362, 949, 365, 277. So, keep reading to learn more.
Given numbers are 362,949,365,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,949,365,277 is 475800130.
Find LCM of 362,949,365,277 with Prime Factorization
73 | 362, 949, 365, 277 |
362, 13, 5, 277 |
Multiply the prime numbers at the bottom and the left side.
73 x 362 x 13 x 5 x 277 = 475800130
Therefore, the lowest common multiple of 362,949,365,277 is 475800130.
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.
362 x 949 x 365 x 277 = 34733409490
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.
362 : 1, 2, 181, 362
949 : 1, 13, 73, 949
365 : 1, 5, 73, 365
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,949,365,277, is 1.
Now, the common factors can be found like this.
362:2x 181
949:13x 73
365:5x 73
277:277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
73 = 73
Therefore, the value for common factors is 73.
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 = 34733409490/(1x73)
LCM = 34733409490/73
LCM = 475800130
Thus, we can understand that the LCM of 362,949,365,277 is 475800130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 362, 949, 365, 277?
Answer: LCM of 362, 949, 365, 277 is 475800130.
2. How to calculate the LCM of 362, 949, 365, 277?
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 362, 949, 365, 277.
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}.