Find the LCM of 8, 152, 616, 154 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 8, 152, 616, 154. So, keep reading to learn more.
Given numbers are 8,152,616,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 8,152,616,154 is 11704.
Find LCM of 8,152,616,154 with Prime Factorization
2 | 8, 152, 616, 154 |
2 | 4, 76, 308, 77 |
2 | 2, 38, 154, 77 |
7 | 1, 19, 77, 77 |
11 | 1, 19, 11, 11 |
1, 19, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 1 x 19 x 1 x 1 = 11704
Therefore, the lowest common multiple of 8,152,616,154 is 11704.
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.
8 x 152 x 616 x 154 = 115354624
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.
8 : 1, 2, 4, 8
152 : 1, 2, 4, 8, 19, 38, 76, 152
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
154 : 1, 2, 7, 11, 14, 22, 77, 154
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8,152,616,154, is 2.
Now, the common factors can be found like this.
8:2x 2x 2
152:2x 2x 2x 19
616:2x 2x 2x 7x 11
154:2x 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.
2x 2x 2x 2x 2x 2x 7x 11 = 4928
Therefore, the value for common factors is 4928.
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 = 115354624/(2x4928)
LCM = 115354624/9856
LCM = 11704
Thus, we can understand that the LCM of 8,152,616,154 is 11704.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 8, 152, 616, 154?
Answer: LCM of 8, 152, 616, 154 is 11704.
2. How to calculate the LCM of 8, 152, 616, 154?
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 8, 152, 616, 154.
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}.