LCM of 667, 208, 610, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 208, 610, 464 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 667, 208, 610, 464. So, keep reading to learn more.
Given numbers are 667,208,610,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,208,610,464 is 42314480.
Find LCM of 667,208,610,464 with Prime Factorization
| 2 | 667, 208, 610, 464 |
| 2 | 667, 104, 305, 232 |
| 2 | 667, 52, 305, 116 |
| 2 | 667, 26, 305, 58 |
| 29 | 667, 13, 305, 29 |
| 23, 13, 305, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 23 x 13 x 305 x 1 = 42314480
Therefore, the lowest common multiple of 667,208,610,464 is 42314480.
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.
667 x 208 x 610 x 464 = 39267837440
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.
667 : 1, 23, 29, 667
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
610 : 1, 2, 5, 10, 61, 122, 305, 610
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,208,610,464, is 1.
Now, the common factors can be found like this.
667:23x 29
208:2x 2x 2x 2x 13
610:2x 5x 61
464:2x 2x 2x 2x 29
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 2x 2x 29 = 928
Therefore, the value for common factors is 928.
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 = 39267837440/(1x928)
LCM = 39267837440/928
LCM = 42314480
Thus, we can understand that the LCM of 667,208,610,464 is 42314480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 208, 610, 464
1. What is the LCM of 667, 208, 610, 464?
Answer: LCM of 667, 208, 610, 464 is 42314480.
2. How to calculate the LCM of 667, 208, 610, 464?
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 667, 208, 610, 464.
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}.