Find the LCM of 474, 334, 668, 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 474, 334, 668, 277. So, keep reading to learn more.
Given numbers are 474,334,668,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,334,668,277 is 43853532.
Find LCM of 474,334,668,277 with Prime Factorization
2 | 474, 334, 668, 277 |
167 | 237, 167, 334, 277 |
237, 1, 2, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 167 x 237 x 1 x 2 x 277 = 43853532
Therefore, the lowest common multiple of 474,334,668,277 is 43853532.
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.
474 x 334 x 668 x 277 = 29294159376
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
334 : 1, 2, 167, 334
668 : 1, 2, 4, 167, 334, 668
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,334,668,277, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
334:2x 167
668:2x 2x 167
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.
2x 2x 167 = 668
Therefore, the value for common factors is 668.
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 = 29294159376/(1x668)
LCM = 29294159376/668
LCM = 43853532
Thus, we can understand that the LCM of 474,334,668,277 is 43853532.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 474, 334, 668, 277?
Answer: LCM of 474, 334, 668, 277 is 43853532.
2. How to calculate the LCM of 474, 334, 668, 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 474, 334, 668, 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}.