LCM of 667, 738, 464, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 738, 464, 697 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, 738, 464, 697. So, keep reading to learn more.
Given numbers are 667,738,464,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,738,464,697 is 66945456.
Find LCM of 667,738,464,697 with Prime Factorization
| 2 | 667, 738, 464, 697 |
| 29 | 667, 369, 232, 697 |
| 41 | 23, 369, 8, 697 |
| 23, 9, 8, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 41 x 23 x 9 x 8 x 17 = 66945456
Therefore, the lowest common multiple of 667,738,464,697 is 66945456.
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 738 x 464 x 697 = 159196294368
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
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,738,464,697, is 1.
Now, the common factors can be found like this.
667:23x 29
738:2x 3x 3x 41
464:2x 2x 2x 2x 29
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29x 41 = 2378
Therefore, the value for common factors is 2378.
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 = 159196294368/(1x2378)
LCM = 159196294368/2378
LCM = 66945456
Thus, we can understand that the LCM of 667,738,464,697 is 66945456.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 738, 464, 697
1. What is the LCM of 667, 738, 464, 697?
Answer: LCM of 667, 738, 464, 697 is 66945456.
2. How to calculate the LCM of 667, 738, 464, 697?
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, 738, 464, 697.
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}.