Given numbers are 120,283,202,438

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 120,283,202,438 is 250387080.

Find LCM of 120,283,202,438 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 20 x 283 x 101 x 73 = 250387080

Therefore, the lowest common multiple of 120,283,202,438 is 250387080.

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.

120 x 283 x 202 x 438 = 3004644960

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

283 : 1, 283

202 : 1, 2, 101, 202

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,283,202,438, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

283:283

202:2x 101

438:2x 3x 73

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 3 = 12

Therefore, the value for common factors is 12.

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 = 3004644960/(1x12)

LCM = 3004644960/12

LCM = 250387080

Thus, we can understand that the LCM of 120,283,202,438 is 250387080.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 540, 590, 168, 128
• LCM of 779, 230, 730, 895
• LCM of 444, 522, 597, 205
• LCM of 891, 622, 961, 560
• LCM of 577, 798, 574, 819

1. What is the LCM of 120, 283, 202, 438?

Answer: LCM of 120, 283, 202, 438 is 250387080.

2. How to calculate the LCM of 120, 283, 202, 438?

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 120, 283, 202, 438.

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}.