Find the LCM of 577, 404, 335, 826 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 577, 404, 335, 826. So, keep reading to learn more.
Given numbers are 577,404,335,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 577,404,335,826 is 32251657340.
Find LCM of 577,404,335,826 with Prime Factorization
2 | 577, 404, 335, 826 |
577, 202, 335, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 577 x 202 x 335 x 413 = 32251657340
Therefore, the lowest common multiple of 577,404,335,826 is 32251657340.
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.
577 x 404 x 335 x 826 = 64503314680
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.
577 : 1, 577
404 : 1, 2, 4, 101, 202, 404
335 : 1, 5, 67, 335
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,404,335,826, is 1.
Now, the common factors can be found like this.
577:577
404:2x 2x 101
335:5x 67
826:2x 7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 64503314680/(1x2)
LCM = 64503314680/2
LCM = 32251657340
Thus, we can understand that the LCM of 577,404,335,826 is 32251657340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 577, 404, 335, 826?
Answer: LCM of 577, 404, 335, 826 is 32251657340.
2. How to calculate the LCM of 577, 404, 335, 826?
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 577, 404, 335, 826.
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}.