Find the LCM of 435, 168, 308, 654, 618 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 435, 168, 308, 654, 618. So, keep reading to learn more.
Given numbers are 435,168,308,654,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 435,168,308,654,618 is 3008386920.
Find LCM of 435,168,308,654,618 with Prime Factorization
2 | 435, 168, 308, 654, 618 |
2 | 435, 84, 154, 327, 309 |
3 | 435, 42, 77, 327, 309 |
7 | 145, 14, 77, 109, 103 |
145, 2, 11, 109, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 145 x 2 x 11 x 109 x 103 = 3008386920
Therefore, the lowest common multiple of 435,168,308,654,618 is 3008386920.
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.
435 x 168 x 308 x 654 x 618 = 9097362046080
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.
435 : 1, 3, 5, 15, 29, 87, 145, 435
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
654 : 1, 2, 3, 6, 109, 218, 327, 654
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 435,168,308,654,618, is 1.
Now, the common factors can be found like this.
435:3x 5x 29
168:2x 2x 2x 3x 7
308:2x 2x 7x 11
654:2x 3x 109
618:2x 3x 103
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 2x 2x 3x 3x 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 9097362046080/(1x3024)
LCM = 9097362046080/3024
LCM = 3008386920
Thus, we can understand that the LCM of 435,168,308,654,618 is 3008386920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 435, 168, 308, 654, 618?
Answer: LCM of 435, 168, 308, 654, 618 is 3008386920.
2. How to calculate the LCM of 435, 168, 308, 654, 618?
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 435, 168, 308, 654, 618.
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}.