Find the LCM of 485, 239, 931, 776, 678 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 485, 239, 931, 776, 678. So, keep reading to learn more.
Given numbers are 485,239,931,776,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 485,239,931,776,678 is 292670537880.
Find LCM of 485,239,931,776,678 with Prime Factorization
2 | 485, 239, 931, 776, 678 |
97 | 485, 239, 931, 388, 339 |
5, 239, 931, 4, 339 |
Multiply the prime numbers at the bottom and the left side.
2 x 97 x 5 x 239 x 931 x 4 x 339 = 292670537880
Therefore, the lowest common multiple of 485,239,931,776,678 is 292670537880.
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.
485 x 239 x 931 x 776 x 678 = 56778084348720
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.
485 : 1, 5, 97, 485
239 : 1, 239
931 : 1, 7, 19, 49, 133, 931
776 : 1, 2, 4, 8, 97, 194, 388, 776
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,239,931,776,678, is 1.
Now, the common factors can be found like this.
485:5x 97
239:239
931:7x 7x 19
776:2x 2x 2x 97
678:2x 3x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 97 = 194
Therefore, the value for common factors is 194.
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 = 56778084348720/(1x194)
LCM = 56778084348720/194
LCM = 292670537880
Thus, we can understand that the LCM of 485,239,931,776,678 is 292670537880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 485, 239, 931, 776, 678?
Answer: LCM of 485, 239, 931, 776, 678 is 292670537880.
2. How to calculate the LCM of 485, 239, 931, 776, 678?
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 485, 239, 931, 776, 678.
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}.