LCM of 457, 457, 567, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 457, 457, 567, 672 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 457, 457, 567, 672. So, keep reading to learn more.
Given numbers are 457,457,567,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 457,457,567,672 is 8291808.
Find LCM of 457,457,567,672 with Prime Factorization
| 3 | 457, 457, 567, 672 |
| 7 | 457, 457, 189, 224 |
| 457 | 457, 457, 27, 32 |
| 1, 1, 27, 32 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 457 x 1 x 1 x 27 x 32 = 8291808
Therefore, the lowest common multiple of 457,457,567,672 is 8291808.
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.
457 x 457 x 567 x 672 = 79576481376
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.
457 : 1, 457
457 : 1, 457
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,457,567,672, is 1.
Now, the common factors can be found like this.
457:457
457:457
567:3x 3x 3x 3x 7
672:2x 2x 2x 2x 2x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 457 = 9597
Therefore, the value for common factors is 9597.
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 = 79576481376/(1x9597)
LCM = 79576481376/9597
LCM = 8291808
Thus, we can understand that the LCM of 457,457,567,672 is 8291808.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 457, 457, 567, 672
1. What is the LCM of 457, 457, 567, 672?
Answer: LCM of 457, 457, 567, 672 is 8291808.
2. How to calculate the LCM of 457, 457, 567, 672?
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 457, 457, 567, 672.
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}.