Find the LCM of 986, 374, 681, 478, 478 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 986, 374, 681, 478, 478. So, keep reading to learn more.
Given numbers are 986,374,681,478,478
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,374,681,478,478 is 1765284114.
Find LCM of 986,374,681,478,478 with Prime Factorization
2 | 986, 374, 681, 478, 478 |
17 | 493, 187, 681, 239, 239 |
239 | 29, 11, 681, 239, 239 |
29, 11, 681, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 239 x 29 x 11 x 681 x 1 x 1 = 1765284114
Therefore, the lowest common multiple of 986,374,681,478,478 is 1765284114.
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.
986 x 374 x 681 x 478 x 478 = 57378794841456
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
374 : 1, 2, 11, 17, 22, 34, 187, 374
681 : 1, 3, 227, 681
478 : 1, 2, 239, 478
478 : 1, 2, 239, 478
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,374,681,478,478, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
374:2x 11x 17
681:3x 227
478:2x 239
478:2x 239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 17x 239 = 32504
Therefore, the value for common factors is 32504.
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 = 57378794841456/(1x32504)
LCM = 57378794841456/32504
LCM = 1765284114
Thus, we can understand that the LCM of 986,374,681,478,478 is 1765284114.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 374, 681, 478, 478?
Answer: LCM of 986, 374, 681, 478, 478 is 1765284114.
2. How to calculate the LCM of 986, 374, 681, 478, 478?
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 986, 374, 681, 478, 478.
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}.