Find the LCM of 535, 306, 618, 34 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 535, 306, 618, 34. So, keep reading to learn more.
Given numbers are 535,306,618,34
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 535,306,618,34 is 16862130.
Find LCM of 535,306,618,34 with Prime Factorization
2 | 535, 306, 618, 34 |
3 | 535, 153, 309, 17 |
17 | 535, 51, 103, 17 |
535, 3, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 535 x 3 x 103 x 1 = 16862130
Therefore, the lowest common multiple of 535,306,618,34 is 16862130.
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.
535 x 306 x 618 x 34 = 3439874520
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.
535 : 1, 5, 107, 535
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
618 : 1, 2, 3, 6, 103, 206, 309, 618
34 : 1, 2, 17, 34
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,306,618,34, is 1.
Now, the common factors can be found like this.
535:5x 107
306:2x 3x 3x 17
618:2x 3x 103
34:2x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 17 = 204
Therefore, the value for common factors is 204.
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 = 3439874520/(1x204)
LCM = 3439874520/204
LCM = 16862130
Thus, we can understand that the LCM of 535,306,618,34 is 16862130.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 535, 306, 618, 34?
Answer: LCM of 535, 306, 618, 34 is 16862130.
2. How to calculate the LCM of 535, 306, 618, 34?
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 535, 306, 618, 34.
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}.