Find the LCM of 954, 860, 978, 731, 617 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 954, 860, 978, 731, 617. So, keep reading to learn more.
Given numbers are 954,860,978,731,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 954,860,978,731,617 is 701356005540.
Find LCM of 954,860,978,731,617 with Prime Factorization
2 | 954, 860, 978, 731, 617 |
3 | 477, 430, 489, 731, 617 |
43 | 159, 430, 163, 731, 617 |
159, 10, 163, 17, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 159 x 10 x 163 x 17 x 617 = 701356005540
Therefore, the lowest common multiple of 954,860,978,731,617 is 701356005540.
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.
954 x 860 x 978 x 731 x 617 = 361899698858640
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.
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
978 : 1, 2, 3, 6, 163, 326, 489, 978
731 : 1, 17, 43, 731
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 954,860,978,731,617, is 1.
Now, the common factors can be found like this.
954:2x 3x 3x 53
860:2x 2x 5x 43
978:2x 3x 163
731:17x 43
617:617
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 43 = 516
Therefore, the value for common factors is 516.
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 = 361899698858640/(1x516)
LCM = 361899698858640/516
LCM = 701356005540
Thus, we can understand that the LCM of 954,860,978,731,617 is 701356005540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 954, 860, 978, 731, 617?
Answer: LCM of 954, 860, 978, 731, 617 is 701356005540.
2. How to calculate the LCM of 954, 860, 978, 731, 617?
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 954, 860, 978, 731, 617.
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}.