Find the LCM of 469, 575, 781, 968 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 469, 575, 781, 968. So, keep reading to learn more.
Given numbers are 469,575,781,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,575,781,968 is 18534223400.
Find LCM of 469,575,781,968 with Prime Factorization
11 | 469, 575, 781, 968 |
469, 575, 71, 88 |
Multiply the prime numbers at the bottom and the left side.
11 x 469 x 575 x 71 x 88 = 18534223400
Therefore, the lowest common multiple of 469,575,781,968 is 18534223400.
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.
469 x 575 x 781 x 968 = 203876457400
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.
469 : 1, 7, 67, 469
575 : 1, 5, 23, 25, 115, 575
781 : 1, 11, 71, 781
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,575,781,968, is 1.
Now, the common factors can be found like this.
469:7x 67
575:5x 5x 23
781:11x 71
968:2x 2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 203876457400/(1x11)
LCM = 203876457400/11
LCM = 18534223400
Thus, we can understand that the LCM of 469,575,781,968 is 18534223400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 469, 575, 781, 968?
Answer: LCM of 469, 575, 781, 968 is 18534223400.
2. How to calculate the LCM of 469, 575, 781, 968?
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 469, 575, 781, 968.
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}.