Given numbers are 148,524,204,484,936

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

The LCM of 148,524,204,484,936 is 9332181144.

Find LCM of 148,524,204,484,936 with Prime Factorization

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

2 x 2 x 3 x 37 x 131 x 17 x 121 x 78 = 9332181144

Therefore, the lowest common multiple of 148,524,204,484,936 is 9332181144.

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.

148 x 524 x 204 x 484 x 936 = 7167115118592

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.

148 : 1, 2, 4, 37, 74, 148

524 : 1, 2, 4, 131, 262, 524

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 148,524,204,484,936, is 4.

Now, the common factors can be found like this.

148:2x 2x 37

524:2x 2x 131

204:2x 2x 3x 17

484:2x 2x 11x 11

936:2x 2x 2x 3x 3x 13

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 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 7167115118592/(4x192)

LCM = 7167115118592/768

LCM = 9332181144

Thus, we can understand that the LCM of 148,524,204,484,936 is 9332181144.

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

• LCM of 646, 414, 380, 949, 314
• LCM of 525, 854, 711, 392, 875
• LCM of 631, 791, 935, 569, 333
• LCM of 555, 728, 925, 295, 210
• LCM of 927, 609, 424, 503, 987

1. What is the LCM of 148, 524, 204, 484, 936?

Answer: LCM of 148, 524, 204, 484, 936 is 9332181144.

2. How to calculate the LCM of 148, 524, 204, 484, 936?

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 148, 524, 204, 484, 936.

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}.