Find the LCM of 781, 746, 964, 975, 241 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 781, 746, 964, 975, 241. So, keep reading to learn more.
Given numbers are 781,746,964,975,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,746,964,975,241 is 273805088700.
Find LCM of 781,746,964,975,241 with Prime Factorization
2 | 781, 746, 964, 975, 241 |
241 | 781, 373, 482, 975, 241 |
781, 373, 2, 975, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 241 x 781 x 373 x 2 x 975 x 1 = 273805088700
Therefore, the lowest common multiple of 781,746,964,975,241 is 273805088700.
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.
781 x 746 x 964 x 975 x 241 = 131974052753400
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.
781 : 1, 11, 71, 781
746 : 1, 2, 373, 746
964 : 1, 2, 4, 241, 482, 964
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,746,964,975,241, is 1.
Now, the common factors can be found like this.
781:11x 71
746:2x 373
964:2x 2x 241
975:3x 5x 5x 13
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 241 = 482
Therefore, the value for common factors is 482.
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 = 131974052753400/(1x482)
LCM = 131974052753400/482
LCM = 273805088700
Thus, we can understand that the LCM of 781,746,964,975,241 is 273805088700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 746, 964, 975, 241?
Answer: LCM of 781, 746, 964, 975, 241 is 273805088700.
2. How to calculate the LCM of 781, 746, 964, 975, 241?
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 781, 746, 964, 975, 241.
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}.