Find the LCM of 278, 473, 209, 187 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 278, 473, 209, 187. So, keep reading to learn more.
Given numbers are 278,473,209,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,473,209,187 is 42472562.
Find LCM of 278,473,209,187 with Prime Factorization
11 | 278, 473, 209, 187 |
278, 43, 19, 17 |
Multiply the prime numbers at the bottom and the left side.
11 x 278 x 43 x 19 x 17 = 42472562
Therefore, the lowest common multiple of 278,473,209,187 is 42472562.
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.
278 x 473 x 209 x 187 = 5139180002
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.
278 : 1, 2, 139, 278
473 : 1, 11, 43, 473
209 : 1, 11, 19, 209
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,473,209,187, is 1.
Now, the common factors can be found like this.
278:2x 139
473:11x 43
209:11x 19
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 5139180002/(1x121)
LCM = 5139180002/121
LCM = 42472562
Thus, we can understand that the LCM of 278,473,209,187 is 42472562.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 278, 473, 209, 187?
Answer: LCM of 278, 473, 209, 187 is 42472562.
2. How to calculate the LCM of 278, 473, 209, 187?
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 278, 473, 209, 187.
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}.