Find the LCM of 697, 499, 649, 998, 974 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 697, 499, 649, 998, 974. So, keep reading to learn more.
Given numbers are 697,499,649,998,974
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,499,649,998,974 is 219855319178.
Find LCM of 697,499,649,998,974 with Prime Factorization
2 | 697, 499, 649, 998, 974 |
499 | 697, 499, 649, 499, 487 |
697, 1, 649, 1, 487 |
Multiply the prime numbers at the bottom and the left side.
2 x 499 x 697 x 1 x 649 x 1 x 487 = 219855319178
Therefore, the lowest common multiple of 697,499,649,998,974 is 219855319178.
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.
697 x 499 x 649 x 998 x 974 = 219415608539644
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.
697 : 1, 17, 41, 697
499 : 1, 499
649 : 1, 11, 59, 649
998 : 1, 2, 499, 998
974 : 1, 2, 487, 974
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,499,649,998,974, is 1.
Now, the common factors can be found like this.
697:17x 41
499:499
649:11x 59
998:2x 499
974:2x 487
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 499 = 998
Therefore, the value for common factors is 998.
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 = 219415608539644/(1x998)
LCM = 219415608539644/998
LCM = 219855319178
Thus, we can understand that the LCM of 697,499,649,998,974 is 219855319178.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 499, 649, 998, 974?
Answer: LCM of 697, 499, 649, 998, 974 is 219855319178.
2. How to calculate the LCM of 697, 499, 649, 998, 974?
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 697, 499, 649, 998, 974.
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}.