Find the LCM of 678, 887, 858, 741, 893 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, 887, 858, 741, 893. So, keep reading to learn more.
Given numbers are 678,887,858,741,893
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,887,858,741,893 is 76796390814.
Find LCM of 678,887,858,741,893 with Prime Factorization
2 | 678, 887, 858, 741, 893 |
3 | 339, 887, 429, 741, 893 |
13 | 113, 887, 143, 247, 893 |
19 | 113, 887, 11, 19, 893 |
113, 887, 11, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 113 x 887 x 11 x 1 x 47 = 76796390814
Therefore, the lowest common multiple of 678,887,858,741,893 is 76796390814.
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 887 x 858 x 741 x 893 = 341436753559044
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
887 : 1, 887
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
741 : 1, 3, 13, 19, 39, 57, 247, 741
893 : 1, 19, 47, 893
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,887,858,741,893, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
887:887
858:2x 3x 11x 13
741:3x 13x 19
893:19x 47
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 19 = 4446
Therefore, the value for common factors is 4446.
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 = 341436753559044/(1x4446)
LCM = 341436753559044/4446
LCM = 76796390814
Thus, we can understand that the LCM of 678,887,858,741,893 is 76796390814.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 887, 858, 741, 893?
Answer: LCM of 678, 887, 858, 741, 893 is 76796390814.
2. How to calculate the LCM of 678, 887, 858, 741, 893?
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, 887, 858, 741, 893.
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}.