LCM of 670, 745, 660, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 745, 660, 894 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 670, 745, 660, 894. So, keep reading to learn more.
Given numbers are 670,745,660,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,745,660,894 is 6588780.
Find LCM of 670,745,660,894 with Prime Factorization
| 2 | 670, 745, 660, 894 |
| 3 | 335, 745, 330, 447 |
| 5 | 335, 745, 110, 149 |
| 149 | 67, 149, 22, 149 |
| 67, 1, 22, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 149 x 67 x 1 x 22 x 1 = 6588780
Therefore, the lowest common multiple of 670,745,660,894 is 6588780.
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.
670 x 745 x 660 x 894 = 294518466000
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.
670 : 1, 2, 5, 10, 67, 134, 335, 670
745 : 1, 5, 149, 745
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,745,660,894, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
745:5x 149
660:2x 2x 3x 5x 11
894:2x 3x 149
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 5x 5x 149 = 44700
Therefore, the value for common factors is 44700.
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 = 294518466000/(1x44700)
LCM = 294518466000/44700
LCM = 6588780
Thus, we can understand that the LCM of 670,745,660,894 is 6588780.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 670, 745, 660, 894
1. What is the LCM of 670, 745, 660, 894?
Answer: LCM of 670, 745, 660, 894 is 6588780.
2. How to calculate the LCM of 670, 745, 660, 894?
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 670, 745, 660, 894.
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}.