Find the LCM of 314, 494, 222, 760 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 314, 494, 222, 760. So, keep reading to learn more.
Given numbers are 314,494,222,760
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,494,222,760 is 172178760.
Find LCM of 314,494,222,760 with Prime Factorization
2 | 314, 494, 222, 760 |
19 | 157, 247, 111, 380 |
157, 13, 111, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 157 x 13 x 111 x 20 = 172178760
Therefore, the lowest common multiple of 314,494,222,760 is 172178760.
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.
314 x 494 x 222 x 760 = 26171171520
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.
314 : 1, 2, 157, 314
494 : 1, 2, 13, 19, 26, 38, 247, 494
222 : 1, 2, 3, 6, 37, 74, 111, 222
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,494,222,760, is 2.
Now, the common factors can be found like this.
314:2x 157
494:2x 13x 19
222:2x 3x 37
760:2x 2x 2x 5x 19
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 19 = 76
Therefore, the value for common factors is 76.
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 = 26171171520/(2x76)
LCM = 26171171520/152
LCM = 172178760
Thus, we can understand that the LCM of 314,494,222,760 is 172178760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 314, 494, 222, 760?
Answer: LCM of 314, 494, 222, 760 is 172178760.
2. How to calculate the LCM of 314, 494, 222, 760?
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 314, 494, 222, 760.
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}.