LCM of 688, 872, 469, 174, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 872, 469, 174, 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 688, 872, 469, 174, 464. So, keep reading to learn more.
Given numbers are 688,872,469,174,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,872,469,174,464 is 3059898576.
Find LCM of 688,872,469,174,464 with Prime Factorization
| 2 | 688, 872, 469, 174, 464 |
| 2 | 344, 436, 469, 87, 232 |
| 2 | 172, 218, 469, 87, 116 |
| 2 | 86, 109, 469, 87, 58 |
| 29 | 43, 109, 469, 87, 29 |
| 43, 109, 469, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 43 x 109 x 469 x 3 x 1 = 3059898576
Therefore, the lowest common multiple of 688,872,469,174,464 is 3059898576.
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.
688 x 872 x 469 x 174 x 464 = 22716687028224
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
872 : 1, 2, 4, 8, 109, 218, 436, 872
469 : 1, 7, 67, 469
174 : 1, 2, 3, 6, 29, 58, 87, 174
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 688,872,469,174,464, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
872:2x 2x 2x 109
469:7x 67
174:2x 3x 29
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 2x 2x 2x 29 = 7424
Therefore, the value for common factors is 7424.
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 = 22716687028224/(1x7424)
LCM = 22716687028224/7424
LCM = 3059898576
Thus, we can understand that the LCM of 688,872,469,174,464 is 3059898576.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 688, 872, 469, 174, 464
1. What is the LCM of 688, 872, 469, 174, 464?
Answer: LCM of 688, 872, 469, 174, 464 is 3059898576.
2. How to calculate the LCM of 688, 872, 469, 174, 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 688, 872, 469, 174, 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}.