Find the LCM of 528, 386, 635, 665 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 528, 386, 635, 665. So, keep reading to learn more.
Given numbers are 528,386,635,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 528,386,635,665 is 8606302320.
Find LCM of 528,386,635,665 with Prime Factorization
2 | 528, 386, 635, 665 |
5 | 264, 193, 635, 665 |
264, 193, 127, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 264 x 193 x 127 x 133 = 8606302320
Therefore, the lowest common multiple of 528,386,635,665 is 8606302320.
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.
528 x 386 x 635 x 665 = 86063023200
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.
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
386 : 1, 2, 193, 386
635 : 1, 5, 127, 635
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,386,635,665, is 1.
Now, the common factors can be found like this.
528:2x 2x 2x 2x 3x 11
386:2x 193
635:5x 127
665:5x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 86063023200/(1x10)
LCM = 86063023200/10
LCM = 8606302320
Thus, we can understand that the LCM of 528,386,635,665 is 8606302320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 528, 386, 635, 665?
Answer: LCM of 528, 386, 635, 665 is 8606302320.
2. How to calculate the LCM of 528, 386, 635, 665?
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 528, 386, 635, 665.
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}.