LCM of 670, 933, 260, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 670, 933, 260, 311 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, 933, 260, 311. So, keep reading to learn more.
Given numbers are 670,933,260,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 670,933,260,311 is 16252860.
Find LCM of 670,933,260,311 with Prime Factorization
| 2 | 670, 933, 260, 311 |
| 5 | 335, 933, 130, 311 |
| 311 | 67, 933, 26, 311 |
| 67, 3, 26, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 311 x 67 x 3 x 26 x 1 = 16252860
Therefore, the lowest common multiple of 670,933,260,311 is 16252860.
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 933 x 260 x 311 = 50546394600
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
933 : 1, 3, 311, 933
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 670,933,260,311, is 1.
Now, the common factors can be found like this.
670:2x 5x 67
933:3x 311
260:2x 2x 5x 13
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 311 = 3110
Therefore, the value for common factors is 3110.
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 = 50546394600/(1x3110)
LCM = 50546394600/3110
LCM = 16252860
Thus, we can understand that the LCM of 670,933,260,311 is 16252860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 670, 933, 260, 311
1. What is the LCM of 670, 933, 260, 311?
Answer: LCM of 670, 933, 260, 311 is 16252860.
2. How to calculate the LCM of 670, 933, 260, 311?
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, 933, 260, 311.
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}.