Find the LCM of 891, 953, 270, 750, 768 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 891, 953, 270, 750, 768. So, keep reading to learn more.
Given numbers are 891,953,270,750,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 891,953,270,750,768 is 27171936000.
Find LCM of 891,953,270,750,768 with Prime Factorization
2 | 891, 953, 270, 750, 768 |
3 | 891, 953, 135, 375, 384 |
3 | 297, 953, 45, 125, 128 |
3 | 99, 953, 15, 125, 128 |
5 | 33, 953, 5, 125, 128 |
33, 953, 1, 25, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 33 x 953 x 1 x 25 x 128 = 27171936000
Therefore, the lowest common multiple of 891,953,270,750,768 is 27171936000.
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.
891 x 953 x 270 x 750 x 768 = 132055608960000
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.
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
953 : 1, 953
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,953,270,750,768, is 1.
Now, the common factors can be found like this.
891:3x 3x 3x 3x 11
953:953
270:2x 3x 3x 3x 5
750:2x 3x 5x 5x 5
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 3x 3x 3x 3x 5 = 4860
Therefore, the value for common factors is 4860.
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 = 132055608960000/(1x4860)
LCM = 132055608960000/4860
LCM = 27171936000
Thus, we can understand that the LCM of 891,953,270,750,768 is 27171936000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 891, 953, 270, 750, 768?
Answer: LCM of 891, 953, 270, 750, 768 is 27171936000.
2. How to calculate the LCM of 891, 953, 270, 750, 768?
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 891, 953, 270, 750, 768.
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}.