Find the LCM of 828, 740, 507, 977 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 828, 740, 507, 977. So, keep reading to learn more.
Given numbers are 828,740,507,977
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,740,507,977 is 25292009340.
Find LCM of 828,740,507,977 with Prime Factorization
2 | 828, 740, 507, 977 |
2 | 414, 370, 507, 977 |
3 | 207, 185, 507, 977 |
69, 185, 169, 977 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 69 x 185 x 169 x 977 = 25292009340
Therefore, the lowest common multiple of 828,740,507,977 is 25292009340.
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.
828 x 740 x 507 x 977 = 303504112080
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
507 : 1, 3, 13, 39, 169, 507
977 : 1, 977
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,740,507,977, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
740:2x 2x 5x 37
507:3x 13x 13
977:977
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 3 = 12
Therefore, the value for common factors is 12.
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 = 303504112080/(1x12)
LCM = 303504112080/12
LCM = 25292009340
Thus, we can understand that the LCM of 828,740,507,977 is 25292009340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 740, 507, 977?
Answer: LCM of 828, 740, 507, 977 is 25292009340.
2. How to calculate the LCM of 828, 740, 507, 977?
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 828, 740, 507, 977.
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}.