Find the LCM of 772, 247, 763, 978, 634 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 772, 247, 763, 978, 634. So, keep reading to learn more.
Given numbers are 772,247,763,978,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,247,763,978,634 is 22553134654596.
Find LCM of 772,247,763,978,634 with Prime Factorization
2 | 772, 247, 763, 978, 634 |
386, 247, 763, 489, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 386 x 247 x 763 x 489 x 317 = 22553134654596
Therefore, the lowest common multiple of 772,247,763,978,634 is 22553134654596.
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.
772 x 247 x 763 x 978 x 634 = 90212538618384
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.
772 : 1, 2, 4, 193, 386, 772
247 : 1, 13, 19, 247
763 : 1, 7, 109, 763
978 : 1, 2, 3, 6, 163, 326, 489, 978
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,247,763,978,634, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
247:13x 19
763:7x 109
978:2x 3x 163
634:2x 317
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 90212538618384/(1x4)
LCM = 90212538618384/4
LCM = 22553134654596
Thus, we can understand that the LCM of 772,247,763,978,634 is 22553134654596.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 772, 247, 763, 978, 634?
Answer: LCM of 772, 247, 763, 978, 634 is 22553134654596.
2. How to calculate the LCM of 772, 247, 763, 978, 634?
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 772, 247, 763, 978, 634.
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}.