Given numbers are 538,364,120,202

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

The LCM of 538,364,120,202 is 296685480.

Find LCM of 538,364,120,202 with Prime Factorization

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

2 x 2 x 269 x 91 x 30 x 101 = 296685480

Therefore, the lowest common multiple of 538,364,120,202 is 296685480.

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.

538 x 364 x 120 x 202 = 4746967680

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.

538 : 1, 2, 269, 538

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

202 : 1, 2, 101, 202

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,364,120,202, is 2.

Now, the common factors can be found like this.

538:2x 269

364:2x 2x 7x 13

120:2x 2x 2x 3x 5

202:2x 101

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 = 4746967680/(2x8)

LCM = 4746967680/16

LCM = 296685480

Thus, we can understand that the LCM of 538,364,120,202 is 296685480.

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

• LCM of 240, 191, 101, 776
• LCM of 698, 839, 320, 219
• LCM of 963, 255, 938, 314
• LCM of 207, 872, 487, 999
• LCM of 676, 324, 366, 289

1. What is the LCM of 538, 364, 120, 202?

Answer: LCM of 538, 364, 120, 202 is 296685480.

2. How to calculate the LCM of 538, 364, 120, 202?

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 538, 364, 120, 202.

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}.