Find the LCM of 154, 617, 676, 509, 901 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, 617, 676, 509, 901. So, keep reading to learn more.
Given numbers are 154,617,676,509,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,617,676,509,901 is 14728725167156.
Find LCM of 154,617,676,509,901 with Prime Factorization
2 | 154, 617, 676, 509, 901 |
77, 617, 338, 509, 901 |
Multiply the prime numbers at the bottom and the left side.
2 x 77 x 617 x 338 x 509 x 901 = 14728725167156
Therefore, the lowest common multiple of 154,617,676,509,901 is 14728725167156.
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 617 x 676 x 509 x 901 = 29457450334312
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
617 : 1, 617
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
509 : 1, 509
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,617,676,509,901, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
617:617
676:2x 2x 13x 13
509:509
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 29457450334312/(1x2)
LCM = 29457450334312/2
LCM = 14728725167156
Thus, we can understand that the LCM of 154,617,676,509,901 is 14728725167156.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 617, 676, 509, 901?
Answer: LCM of 154, 617, 676, 509, 901 is 14728725167156.
2. How to calculate the LCM of 154, 617, 676, 509, 901?
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, 617, 676, 509, 901.
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}.