Find the LCM of 778, 676, 133, 137, 468 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 778, 676, 133, 137, 468. So, keep reading to learn more.
Given numbers are 778,676,133,137,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,676,133,137,468 is 43123203396.
Find LCM of 778,676,133,137,468 with Prime Factorization
2 | 778, 676, 133, 137, 468 |
2 | 389, 338, 133, 137, 234 |
13 | 389, 169, 133, 137, 117 |
389, 13, 133, 137, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 389 x 13 x 133 x 137 x 9 = 43123203396
Therefore, the lowest common multiple of 778,676,133,137,468 is 43123203396.
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.
778 x 676 x 133 x 137 x 468 = 4484813153184
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.
778 : 1, 2, 389, 778
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
133 : 1, 7, 19, 133
137 : 1, 137
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,676,133,137,468, is 1.
Now, the common factors can be found like this.
778:2x 389
676:2x 2x 13x 13
133:7x 19
137:137
468:2x 2x 3x 3x 13
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 13 = 104
Therefore, the value for common factors is 104.
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 = 4484813153184/(1x104)
LCM = 4484813153184/104
LCM = 43123203396
Thus, we can understand that the LCM of 778,676,133,137,468 is 43123203396.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 778, 676, 133, 137, 468?
Answer: LCM of 778, 676, 133, 137, 468 is 43123203396.
2. How to calculate the LCM of 778, 676, 133, 137, 468?
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 778, 676, 133, 137, 468.
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}.