Find the LCM of 500, 618, 121, 704, 334 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 500, 618, 121, 704, 334. So, keep reading to learn more.
Given numbers are 500,618,121,704,334
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 500,618,121,704,334 is 49951704000.
Find LCM of 500,618,121,704,334 with Prime Factorization
2 | 500, 618, 121, 704, 334 |
2 | 250, 309, 121, 352, 167 |
11 | 125, 309, 121, 176, 167 |
125, 309, 11, 16, 167 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 125 x 309 x 11 x 16 x 167 = 49951704000
Therefore, the lowest common multiple of 500,618,121,704,334 is 49951704000.
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.
500 x 618 x 121 x 704 x 334 = 8791499904000
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.
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
618 : 1, 2, 3, 6, 103, 206, 309, 618
121 : 1, 11, 121
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
334 : 1, 2, 167, 334
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 500,618,121,704,334, is 1.
Now, the common factors can be found like this.
500:2x 2x 5x 5x 5
618:2x 3x 103
121:11x 11
704:2x 2x 2x 2x 2x 2x 11
334:2x 167
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 11 = 176
Therefore, the value for common factors is 176.
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 = 8791499904000/(1x176)
LCM = 8791499904000/176
LCM = 49951704000
Thus, we can understand that the LCM of 500,618,121,704,334 is 49951704000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 500, 618, 121, 704, 334?
Answer: LCM of 500, 618, 121, 704, 334 is 49951704000.
2. How to calculate the LCM of 500, 618, 121, 704, 334?
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 500, 618, 121, 704, 334.
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}.