Given numbers are 638,312,192,596,189

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

The LCM of 638,312,192,596,189 is 7474154688.

Find LCM of 638,312,192,596,189 with Prime Factorization

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

2 x 2 x 2 x 3 x 319 x 13 x 8 x 149 x 63 = 7474154688

Therefore, the lowest common multiple of 638,312,192,596,189 is 7474154688.

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.

638 x 312 x 192 x 596 x 189 = 4305113100288

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

596 : 1, 2, 4, 149, 298, 596

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,312,192,596,189, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

312:2x 2x 2x 3x 13

192:2x 2x 2x 2x 2x 2x 3

596:2x 2x 149

189:3x 3x 3x 7

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 4305113100288/(1x576)

LCM = 4305113100288/576

LCM = 7474154688

Thus, we can understand that the LCM of 638,312,192,596,189 is 7474154688.

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

• LCM of 105, 707, 778, 985, 801
• LCM of 165, 223, 757, 404, 617
• LCM of 926, 540, 660, 445, 706
• LCM of 841, 216, 122, 705, 918
• LCM of 628, 382, 558, 293, 253

1. What is the LCM of 638, 312, 192, 596, 189?

Answer: LCM of 638, 312, 192, 596, 189 is 7474154688.

2. How to calculate the LCM of 638, 312, 192, 596, 189?

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 638, 312, 192, 596, 189.

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}.