Find the LCM of 678, 209, 506, 403, 671 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, 209, 506, 403, 671. So, keep reading to learn more.
Given numbers are 678,209,506,403,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,209,506,403,671 is 80119586118.
Find LCM of 678,209,506,403,671 with Prime Factorization
2 | 678, 209, 506, 403, 671 |
11 | 339, 209, 253, 403, 671 |
339, 19, 23, 403, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 339 x 19 x 23 x 403 x 61 = 80119586118
Therefore, the lowest common multiple of 678,209,506,403,671 is 80119586118.
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 209 x 506 x 403 x 671 = 19388939840556
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
209 : 1, 11, 19, 209
506 : 1, 2, 11, 22, 23, 46, 253, 506
403 : 1, 13, 31, 403
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,209,506,403,671, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
209:11x 19
506:2x 11x 23
403:13x 31
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 19388939840556/(1x242)
LCM = 19388939840556/242
LCM = 80119586118
Thus, we can understand that the LCM of 678,209,506,403,671 is 80119586118.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 678, 209, 506, 403, 671?
Answer: LCM of 678, 209, 506, 403, 671 is 80119586118.
2. How to calculate the LCM of 678, 209, 506, 403, 671?
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, 209, 506, 403, 671.
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}.