Find the LCM of 676, 967, 272, 663, 962 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 676, 967, 272, 663, 962. So, keep reading to learn more.
Given numbers are 676,967,272,663,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,967,272,663,962 is 4934067216.
Find LCM of 676,967,272,663,962 with Prime Factorization
2 | 676, 967, 272, 663, 962 |
2 | 338, 967, 136, 663, 481 |
13 | 169, 967, 68, 663, 481 |
17 | 13, 967, 68, 51, 37 |
13, 967, 4, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 13 x 967 x 4 x 3 x 37 = 4934067216
Therefore, the lowest common multiple of 676,967,272,663,962 is 4934067216.
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.
676 x 967 x 272 x 663 x 962 = 113404600892544
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
967 : 1, 967
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
663 : 1, 3, 13, 17, 39, 51, 221, 663
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,967,272,663,962, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
967:967
272:2x 2x 2x 2x 17
663:3x 13x 17
962:2x 13x 37
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 13x 13x 17 = 22984
Therefore, the value for common factors is 22984.
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 = 113404600892544/(1x22984)
LCM = 113404600892544/22984
LCM = 4934067216
Thus, we can understand that the LCM of 676,967,272,663,962 is 4934067216.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 967, 272, 663, 962?
Answer: LCM of 676, 967, 272, 663, 962 is 4934067216.
2. How to calculate the LCM of 676, 967, 272, 663, 962?
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 676, 967, 272, 663, 962.
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}.