Given numbers are 208,156,312

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

The LCM of 208,156,312 is 624.

Find LCM of 208,156,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 2 x 1 x 1 = 624

Therefore, the lowest common multiple of 208,156,312 is 624.

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.

208 x 156 x 312 = 10123776

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

52 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,156,312, is 52.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

156:2x 2x 3x 13

312:2x 2x 2x 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 3x 13 = 312

Therefore, the value for common factors is 312.

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 = 10123776/(52x312)

LCM = 10123776/16224

LCM = 624

Thus, we can understand that the LCM of 208,156,312 is 624.

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

• LCM of 925, 826, 962
• LCM of 919, 389, 359
• LCM of 636, 734, 636
• LCM of 501, 596, 722
• LCM of 485, 874, 280

1. What is the LCM of 208, 156, 312?

Answer: LCM of 208, 156, 312 is 624.

2. How to calculate the LCM of 208, 156, 312?

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 208, 156, 312.

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}.