Find the LCM of 314, 540, 444, 592, 502 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, 540, 444, 592, 502. So, keep reading to learn more.
Given numbers are 314,540,444,592,502
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,540,444,592,502 is 3149407440.
Find LCM of 314,540,444,592,502 with Prime Factorization
2 | 314, 540, 444, 592, 502 |
2 | 157, 270, 222, 296, 251 |
3 | 157, 135, 111, 148, 251 |
37 | 157, 45, 37, 148, 251 |
157, 45, 1, 4, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 157 x 45 x 1 x 4 x 251 = 3149407440
Therefore, the lowest common multiple of 314,540,444,592,502 is 3149407440.
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 540 x 444 x 592 x 502 = 22373390453760
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
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
502 : 1, 2, 251, 502
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,540,444,592,502, is 2.
Now, the common factors can be found like this.
314:2x 157
540:2x 2x 3x 3x 3x 5
444:2x 2x 3x 37
592:2x 2x 2x 2x 37
502:2x 251
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 3x 37 = 3552
Therefore, the value for common factors is 3552.
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 = 22373390453760/(2x3552)
LCM = 22373390453760/7104
LCM = 3149407440
Thus, we can understand that the LCM of 314,540,444,592,502 is 3149407440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 314, 540, 444, 592, 502?
Answer: LCM of 314, 540, 444, 592, 502 is 3149407440.
2. How to calculate the LCM of 314, 540, 444, 592, 502?
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, 540, 444, 592, 502.
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}.