Find the LCM of 678, 533, 123, 977, 858 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 678, 533, 123, 977, 858. So, keep reading to learn more.
Given numbers are 678,533,123,977,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,533,123,977,858 is 3883686378.
Find LCM of 678,533,123,977,858 with Prime Factorization
2 | 678, 533, 123, 977, 858 |
3 | 339, 533, 123, 977, 429 |
13 | 113, 533, 41, 977, 143 |
41 | 113, 41, 41, 977, 11 |
113, 1, 1, 977, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 41 x 113 x 1 x 1 x 977 x 11 = 3883686378
Therefore, the lowest common multiple of 678,533,123,977,858 is 3883686378.
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.
678 x 533 x 123 x 977 x 858 = 37260087110532
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
533 : 1, 13, 41, 533
123 : 1, 3, 41, 123
977 : 1, 977
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,533,123,977,858, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
533:13x 41
123:3x 41
977:977
858:2x 3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 41 = 9594
Therefore, the value for common factors is 9594.
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 = 37260087110532/(1x9594)
LCM = 37260087110532/9594
LCM = 3883686378
Thus, we can understand that the LCM of 678,533,123,977,858 is 3883686378.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 533, 123, 977, 858?
Answer: LCM of 678, 533, 123, 977, 858 is 3883686378.
2. How to calculate the LCM of 678, 533, 123, 977, 858?
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 678, 533, 123, 977, 858.
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}.