Find the LCM of 218, 746, 270, 878, 370 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 218, 746, 270, 878, 370. So, keep reading to learn more.
Given numbers are 218,746,270,878,370
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 218,746,270,878,370 is 178305745770.
Find LCM of 218,746,270,878,370 with Prime Factorization
2 | 218, 746, 270, 878, 370 |
5 | 109, 373, 135, 439, 185 |
109, 373, 27, 439, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 109 x 373 x 27 x 439 x 37 = 178305745770
Therefore, the lowest common multiple of 218,746,270,878,370 is 178305745770.
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.
218 x 746 x 270 x 878 x 370 = 14264459661600
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.
218 : 1, 2, 109, 218
746 : 1, 2, 373, 746
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
878 : 1, 2, 439, 878
370 : 1, 2, 5, 10, 37, 74, 185, 370
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,746,270,878,370, is 2.
Now, the common factors can be found like this.
218:2x 109
746:2x 373
270:2x 3x 3x 3x 5
878:2x 439
370:2x 5x 37
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 2x 5 = 40
Therefore, the value for common factors is 40.
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 = 14264459661600/(2x40)
LCM = 14264459661600/80
LCM = 178305745770
Thus, we can understand that the LCM of 218,746,270,878,370 is 178305745770.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 218, 746, 270, 878, 370?
Answer: LCM of 218, 746, 270, 878, 370 is 178305745770.
2. How to calculate the LCM of 218, 746, 270, 878, 370?
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 218, 746, 270, 878, 370.
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}.