Given numbers are 149,288,528,532

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

The LCM of 149,288,528,532 is 62780256.

Find LCM of 149,288,528,532 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 149 x 6 x 11 x 133 = 62780256

Therefore, the lowest common multiple of 149,288,528,532 is 62780256.

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.

149 x 288 x 528 x 532 = 12053809152

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.

149 : 1, 149

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,288,528,532, is 1.

Now, the common factors can be found like this.

149:149

288:2x 2x 2x 2x 2x 3x 3

528:2x 2x 2x 2x 3x 11

532:2x 2x 7x 19

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 = 12053809152/(1x192)

LCM = 12053809152/192

LCM = 62780256

Thus, we can understand that the LCM of 149,288,528,532 is 62780256.

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

• LCM of 825, 461, 467, 100
• LCM of 656, 274, 105, 813
• LCM of 928, 452, 925, 365
• LCM of 695, 241, 948, 148
• LCM of 351, 941, 407, 578

1. What is the LCM of 149, 288, 528, 532?

Answer: LCM of 149, 288, 528, 532 is 62780256.

2. How to calculate the LCM of 149, 288, 528, 532?

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 149, 288, 528, 532.

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}.