Find the LCM of 676, 676, 451, 737 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, 676, 451, 737. So, keep reading to learn more.
Given numbers are 676,676,451,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,676,451,737 is 20426692.
Find LCM of 676,676,451,737 with Prime Factorization
2 | 676, 676, 451, 737 |
2 | 338, 338, 451, 737 |
11 | 169, 169, 451, 737 |
13 | 169, 169, 41, 67 |
13 | 13, 13, 41, 67 |
1, 1, 41, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 13 x 1 x 1 x 41 x 67 = 20426692
Therefore, the lowest common multiple of 676,676,451,737 is 20426692.
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 676 x 451 x 737 = 151892881712
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
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
451 : 1, 11, 41, 451
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,676,451,737, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
676:2x 2x 13x 13
451:11x 41
737:11x 67
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 11x 13x 13 = 7436
Therefore, the value for common factors is 7436.
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 = 151892881712/(1x7436)
LCM = 151892881712/7436
LCM = 20426692
Thus, we can understand that the LCM of 676,676,451,737 is 20426692.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 676, 676, 451, 737?
Answer: LCM of 676, 676, 451, 737 is 20426692.
2. How to calculate the LCM of 676, 676, 451, 737?
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, 676, 451, 737.
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}.