Find the LCM of 678, 713, 778, 941 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, 713, 778, 941. So, keep reading to learn more.
Given numbers are 678,713,778,941
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,713,778,941 is 176953211286.
Find LCM of 678,713,778,941 with Prime Factorization
2 | 678, 713, 778, 941 |
339, 713, 389, 941 |
Multiply the prime numbers at the bottom and the left side.
2 x 339 x 713 x 389 x 941 = 176953211286
Therefore, the lowest common multiple of 678,713,778,941 is 176953211286.
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 713 x 778 x 941 = 353906422572
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
713 : 1, 23, 31, 713
778 : 1, 2, 389, 778
941 : 1, 941
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,713,778,941, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
713:23x 31
778:2x 389
941:941
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 353906422572/(1x2)
LCM = 353906422572/2
LCM = 176953211286
Thus, we can understand that the LCM of 678,713,778,941 is 176953211286.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 713, 778, 941?
Answer: LCM of 678, 713, 778, 941 is 176953211286.
2. How to calculate the LCM of 678, 713, 778, 941?
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, 713, 778, 941.
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}.