LCM of 857, 932, 963, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 857, 932, 963, 700 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 857, 932, 963, 700. So, keep reading to learn more.
Given numbers are 857,932,963,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 857,932,963,700 is 134604962100.
Find LCM of 857,932,963,700 with Prime Factorization
| 2 | 857, 932, 963, 700 |
| 2 | 857, 466, 963, 350 |
| 857, 233, 963, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 857 x 233 x 963 x 175 = 134604962100
Therefore, the lowest common multiple of 857,932,963,700 is 134604962100.
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.
857 x 932 x 963 x 700 = 538419848400
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.
857 : 1, 857
932 : 1, 2, 4, 233, 466, 932
963 : 1, 3, 9, 107, 321, 963
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,932,963,700, is 1.
Now, the common factors can be found like this.
857:857
932:2x 2x 233
963:3x 3x 107
700:2x 2x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 538419848400/(1x4)
LCM = 538419848400/4
LCM = 134604962100
Thus, we can understand that the LCM of 857,932,963,700 is 134604962100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 857, 932, 963, 700
1. What is the LCM of 857, 932, 963, 700?
Answer: LCM of 857, 932, 963, 700 is 134604962100.
2. How to calculate the LCM of 857, 932, 963, 700?
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 857, 932, 963, 700.
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}.