Find the LCM of 305, 578, 314, 734, 966 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 305, 578, 314, 734, 966. So, keep reading to learn more.
Given numbers are 305,578,314,734,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,578,314,734,966 is 4906146645330.
Find LCM of 305,578,314,734,966 with Prime Factorization
2 | 305, 578, 314, 734, 966 |
305, 289, 157, 367, 483 |
Multiply the prime numbers at the bottom and the left side.
2 x 305 x 289 x 157 x 367 x 483 = 4906146645330
Therefore, the lowest common multiple of 305,578,314,734,966 is 4906146645330.
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.
305 x 578 x 314 x 734 x 966 = 39249173162640
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.
305 : 1, 5, 61, 305
578 : 1, 2, 17, 34, 289, 578
314 : 1, 2, 157, 314
734 : 1, 2, 367, 734
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,578,314,734,966, is 1.
Now, the common factors can be found like this.
305:5x 61
578:2x 17x 17
314:2x 157
734:2x 367
966:2x 3x 7x 23
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 2 = 8
Therefore, the value for common factors is 8.
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 = 39249173162640/(1x8)
LCM = 39249173162640/8
LCM = 4906146645330
Thus, we can understand that the LCM of 305,578,314,734,966 is 4906146645330.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 305, 578, 314, 734, 966?
Answer: LCM of 305, 578, 314, 734, 966 is 4906146645330.
2. How to calculate the LCM of 305, 578, 314, 734, 966?
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 305, 578, 314, 734, 966.
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}.