Find the LCM of 763, 400, 869, 930, 277 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 763, 400, 869, 930, 277. So, keep reading to learn more.
Given numbers are 763,400,869,930,277
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,400,869,930,277 is 6832301506800.
Find LCM of 763,400,869,930,277 with Prime Factorization
2 | 763, 400, 869, 930, 277 |
5 | 763, 200, 869, 465, 277 |
763, 40, 869, 93, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 763 x 40 x 869 x 93 x 277 = 6832301506800
Therefore, the lowest common multiple of 763,400,869,930,277 is 6832301506800.
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.
763 x 400 x 869 x 930 x 277 = 68323015068000
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.
763 : 1, 7, 109, 763
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
869 : 1, 11, 79, 869
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
277 : 1, 277
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,400,869,930,277, is 1.
Now, the common factors can be found like this.
763:7x 109
400:2x 2x 2x 2x 5x 5
869:11x 79
930:2x 3x 5x 31
277:277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 68323015068000/(1x10)
LCM = 68323015068000/10
LCM = 6832301506800
Thus, we can understand that the LCM of 763,400,869,930,277 is 6832301506800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 763, 400, 869, 930, 277?
Answer: LCM of 763, 400, 869, 930, 277 is 6832301506800.
2. How to calculate the LCM of 763, 400, 869, 930, 277?
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 763, 400, 869, 930, 277.
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}.