Find the LCM of 154, 578, 216, 668, 918 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 154, 578, 216, 668, 918. So, keep reading to learn more.
Given numbers are 154,578,216,668,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,578,216,668,918 is 802710216.
Find LCM of 154,578,216,668,918 with Prime Factorization
2 | 154, 578, 216, 668, 918 |
2 | 77, 289, 108, 334, 459 |
3 | 77, 289, 54, 167, 459 |
3 | 77, 289, 18, 167, 153 |
3 | 77, 289, 6, 167, 51 |
17 | 77, 289, 2, 167, 17 |
77, 1, 2, 167, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 17 x 77 x 1 x 2 x 167 x 17 = 802710216
Therefore, the lowest common multiple of 154,578,216,668,918 is 802710216.
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.
154 x 578 x 216 x 668 x 918 = 11790207652608
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
578 : 1, 2, 17, 34, 289, 578
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
668 : 1, 2, 4, 167, 334, 668
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,578,216,668,918, is 2.
Now, the common factors can be found like this.
154:2x 7x 11
578:2x 17x 17
216:2x 2x 2x 3x 3x 3
668:2x 2x 167
918:2x 3x 3x 3x 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 2x 2x 3x 3x 3x 17 = 7344
Therefore, the value for common factors is 7344.
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 = 11790207652608/(2x7344)
LCM = 11790207652608/14688
LCM = 802710216
Thus, we can understand that the LCM of 154,578,216,668,918 is 802710216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 578, 216, 668, 918?
Answer: LCM of 154, 578, 216, 668, 918 is 802710216.
2. How to calculate the LCM of 154, 578, 216, 668, 918?
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 154, 578, 216, 668, 918.
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}.