Find the LCM of 678, 507, 969, 103, 319 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, 507, 969, 103, 319. So, keep reading to learn more.
Given numbers are 678,507,969,103,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,507,969,103,319 is 1216037110002.
Find LCM of 678,507,969,103,319 with Prime Factorization
3 | 678, 507, 969, 103, 319 |
226, 169, 323, 103, 319 |
Multiply the prime numbers at the bottom and the left side.
3 x 226 x 169 x 323 x 103 x 319 = 1216037110002
Therefore, the lowest common multiple of 678,507,969,103,319 is 1216037110002.
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 507 x 969 x 103 x 319 = 10944333990018
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
507 : 1, 3, 13, 39, 169, 507
969 : 1, 3, 17, 19, 51, 57, 323, 969
103 : 1, 103
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,507,969,103,319, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
507:3x 13x 13
969:3x 17x 19
103:103
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 10944333990018/(1x9)
LCM = 10944333990018/9
LCM = 1216037110002
Thus, we can understand that the LCM of 678,507,969,103,319 is 1216037110002.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 507, 969, 103, 319?
Answer: LCM of 678, 507, 969, 103, 319 is 1216037110002.
2. How to calculate the LCM of 678, 507, 969, 103, 319?
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, 507, 969, 103, 319.
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}.