Find the LCM of 569, 407, 337, 924 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 569, 407, 337, 924. So, keep reading to learn more.
Given numbers are 569,407,337,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 569,407,337,924 is 6555651564.
Find LCM of 569,407,337,924 with Prime Factorization
11 | 569, 407, 337, 924 |
569, 37, 337, 84 |
Multiply the prime numbers at the bottom and the left side.
11 x 569 x 37 x 337 x 84 = 6555651564
Therefore, the lowest common multiple of 569,407,337,924 is 6555651564.
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.
569 x 407 x 337 x 924 = 72112167204
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.
569 : 1, 569
407 : 1, 11, 37, 407
337 : 1, 337
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,407,337,924, is 1.
Now, the common factors can be found like this.
569:569
407:11x 37
337:337
924:2x 2x 3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 72112167204/(1x11)
LCM = 72112167204/11
LCM = 6555651564
Thus, we can understand that the LCM of 569,407,337,924 is 6555651564.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 569, 407, 337, 924?
Answer: LCM of 569, 407, 337, 924 is 6555651564.
2. How to calculate the LCM of 569, 407, 337, 924?
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 569, 407, 337, 924.
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}.