LCM of 773, 945, 670, 470, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 945, 670, 470, 214 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 773, 945, 670, 470, 214. So, keep reading to learn more.
Given numbers are 773,945,670,470,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,945,670,470,214 is 492263614710.
Find LCM of 773,945,670,470,214 with Prime Factorization
| 2 | 773, 945, 670, 470, 214 |
| 5 | 773, 945, 335, 235, 107 |
| 773, 189, 67, 47, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 773 x 189 x 67 x 47 x 107 = 492263614710
Therefore, the lowest common multiple of 773,945,670,470,214 is 492263614710.
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.
773 x 945 x 670 x 470 x 214 = 49226361471000
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.
773 : 1, 773
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
670 : 1, 2, 5, 10, 67, 134, 335, 670
470 : 1, 2, 5, 10, 47, 94, 235, 470
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,945,670,470,214, is 1.
Now, the common factors can be found like this.
773:773
945:3x 3x 3x 5x 7
670:2x 5x 67
470:2x 5x 47
214:2x 107
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 49226361471000/(1x100)
LCM = 49226361471000/100
LCM = 492263614710
Thus, we can understand that the LCM of 773,945,670,470,214 is 492263614710.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 773, 945, 670, 470, 214
1. What is the LCM of 773, 945, 670, 470, 214?
Answer: LCM of 773, 945, 670, 470, 214 is 492263614710.
2. How to calculate the LCM of 773, 945, 670, 470, 214?
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 773, 945, 670, 470, 214.
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}.