Find the LCM of 338, 367, 474, 957, 671 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 338, 367, 474, 957, 671. So, keep reading to learn more.
Given numbers are 338,367,474,957,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,367,474,957,671 is 572073234018.
Find LCM of 338,367,474,957,671 with Prime Factorization
2 | 338, 367, 474, 957, 671 |
3 | 169, 367, 237, 957, 671 |
11 | 169, 367, 79, 319, 671 |
169, 367, 79, 29, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 169 x 367 x 79 x 29 x 61 = 572073234018
Therefore, the lowest common multiple of 338,367,474,957,671 is 572073234018.
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.
338 x 367 x 474 x 957 x 671 = 37756833445188
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.
338 : 1, 2, 13, 26, 169, 338
367 : 1, 367
474 : 1, 2, 3, 6, 79, 158, 237, 474
957 : 1, 3, 11, 29, 33, 87, 319, 957
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,367,474,957,671, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
367:367
474:2x 3x 79
957:3x 11x 29
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11 = 66
Therefore, the value for common factors is 66.
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 = 37756833445188/(1x66)
LCM = 37756833445188/66
LCM = 572073234018
Thus, we can understand that the LCM of 338,367,474,957,671 is 572073234018.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 367, 474, 957, 671?
Answer: LCM of 338, 367, 474, 957, 671 is 572073234018.
2. How to calculate the LCM of 338, 367, 474, 957, 671?
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 338, 367, 474, 957, 671.
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}.