Find the LCM of 770, 219, 422, 270, 945 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 770, 219, 422, 270, 945. So, keep reading to learn more.
Given numbers are 770,219,422,270,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,219,422,270,945 is 320228370.
Find LCM of 770,219,422,270,945 with Prime Factorization
2 | 770, 219, 422, 270, 945 |
3 | 385, 219, 211, 135, 945 |
3 | 385, 73, 211, 45, 315 |
3 | 385, 73, 211, 15, 105 |
5 | 385, 73, 211, 5, 35 |
7 | 77, 73, 211, 1, 7 |
11, 73, 211, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 7 x 11 x 73 x 211 x 1 x 1 = 320228370
Therefore, the lowest common multiple of 770,219,422,270,945 is 320228370.
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.
770 x 219 x 422 x 270 x 945 = 18156948579000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
219 : 1, 3, 73, 219
422 : 1, 2, 211, 422
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,219,422,270,945, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
219:3x 73
422:2x 211
270:2x 3x 3x 3x 5
945:3x 3x 3x 5x 7
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 3x 3x 3x 3x 5x 5x 7 = 56700
Therefore, the value for common factors is 56700.
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 = 18156948579000/(1x56700)
LCM = 18156948579000/56700
LCM = 320228370
Thus, we can understand that the LCM of 770,219,422,270,945 is 320228370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 219, 422, 270, 945?
Answer: LCM of 770, 219, 422, 270, 945 is 320228370.
2. How to calculate the LCM of 770, 219, 422, 270, 945?
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 770, 219, 422, 270, 945.
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}.