Find the LCM of 697, 517, 987, 949 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, 517, 987, 949. So, keep reading to learn more.
Given numbers are 697,517,987,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,517,987,949 is 7181395221.
Find LCM of 697,517,987,949 with Prime Factorization
47 | 697, 517, 987, 949 |
697, 11, 21, 949 |
Multiply the prime numbers at the bottom and the left side.
47 x 697 x 11 x 21 x 949 = 7181395221
Therefore, the lowest common multiple of 697,517,987,949 is 7181395221.
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 517 x 987 x 949 = 337525575387
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
517 : 1, 11, 47, 517
987 : 1, 3, 7, 21, 47, 141, 329, 987
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,517,987,949, is 1.
Now, the common factors can be found like this.
697:17x 41
517:11x 47
987:3x 7x 47
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
47 = 47
Therefore, the value for common factors is 47.
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 = 337525575387/(1x47)
LCM = 337525575387/47
LCM = 7181395221
Thus, we can understand that the LCM of 697,517,987,949 is 7181395221.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 517, 987, 949?
Answer: LCM of 697, 517, 987, 949 is 7181395221.
2. How to calculate the LCM of 697, 517, 987, 949?
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, 517, 987, 949.
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}.