Given numbers are 596,196,208,138,609

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

The LCM of 596,196,208,138,609 is 3038734608.

Find LCM of 596,196,208,138,609 with Prime Factorization

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

2 x 2 x 3 x 7 x 149 x 7 x 52 x 23 x 29 = 3038734608

Therefore, the lowest common multiple of 596,196,208,138,609 is 3038734608.

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.

596 x 196 x 208 x 138 x 609 = 2042029656576

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.

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

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

609 : 1, 3, 7, 21, 29, 87, 203, 609

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,196,208,138,609, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

196:2x 2x 7x 7

208:2x 2x 2x 2x 13

138:2x 3x 23

609:3x 7x 29

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 3x 7 = 672

Therefore, the value for common factors is 672.

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 = 2042029656576/(1x672)

LCM = 2042029656576/672

LCM = 3038734608

Thus, we can understand that the LCM of 596,196,208,138,609 is 3038734608.

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

• LCM of 396, 826, 781, 407, 238
• LCM of 287, 496, 655, 466, 968
• LCM of 654, 208, 785, 642, 782
• LCM of 921, 105, 379, 538, 198
• LCM of 328, 817, 549, 201, 596

1. What is the LCM of 596, 196, 208, 138, 609?

Answer: LCM of 596, 196, 208, 138, 609 is 3038734608.

2. How to calculate the LCM of 596, 196, 208, 138, 609?

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 596, 196, 208, 138, 609.

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}.