Find the LCM of 770, 776, 638, 485, 264 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 770, 776, 638, 485, 264. So, keep reading to learn more.
Given numbers are 770,776,638,485,264
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,776,638,485,264 is 25992120.
Find LCM of 770,776,638,485,264 with Prime Factorization
2 | 770, 776, 638, 485, 264 |
2 | 385, 388, 319, 485, 132 |
2 | 385, 194, 319, 485, 66 |
5 | 385, 97, 319, 485, 33 |
11 | 77, 97, 319, 97, 33 |
97 | 7, 97, 29, 97, 3 |
7, 1, 29, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 11 x 97 x 7 x 1 x 29 x 1 x 3 = 25992120
Therefore, the lowest common multiple of 770,776,638,485,264 is 25992120.
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.
770 x 776 x 638 x 485 x 264 = 48811121990400
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
776 : 1, 2, 4, 8, 97, 194, 388, 776
638 : 1, 2, 11, 22, 29, 58, 319, 638
485 : 1, 5, 97, 485
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,776,638,485,264, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
776:2x 2x 2x 97
638:2x 11x 29
485:5x 97
264:2x 2x 2x 3x 11
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 2x 2x 5x 11x 11x 97 = 1877920
Therefore, the value for common factors is 1877920.
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 = 48811121990400/(1x1877920)
LCM = 48811121990400/1877920
LCM = 25992120
Thus, we can understand that the LCM of 770,776,638,485,264 is 25992120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 770, 776, 638, 485, 264?
Answer: LCM of 770, 776, 638, 485, 264 is 25992120.
2. How to calculate the LCM of 770, 776, 638, 485, 264?
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 770, 776, 638, 485, 264.
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}.