Find the LCM of 655, 407, 289, 524 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 655, 407, 289, 524. So, keep reading to learn more.
Given numbers are 655,407,289,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,407,289,524 is 308172260.
Find LCM of 655,407,289,524 with Prime Factorization
131 | 655, 407, 289, 524 |
5, 407, 289, 4 |
Multiply the prime numbers at the bottom and the left side.
131 x 5 x 407 x 289 x 4 = 308172260
Therefore, the lowest common multiple of 655,407,289,524 is 308172260.
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.
655 x 407 x 289 x 524 = 40370566060
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.
655 : 1, 5, 131, 655
407 : 1, 11, 37, 407
289 : 1, 17, 289
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,407,289,524, is 1.
Now, the common factors can be found like this.
655:5x 131
407:11x 37
289:17x 17
524:2x 2x 131
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
131 = 131
Therefore, the value for common factors is 131.
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 = 40370566060/(1x131)
LCM = 40370566060/131
LCM = 308172260
Thus, we can understand that the LCM of 655,407,289,524 is 308172260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 407, 289, 524?
Answer: LCM of 655, 407, 289, 524 is 308172260.
2. How to calculate the LCM of 655, 407, 289, 524?
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 655, 407, 289, 524.
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}.