Given numbers are 142,204,292,778

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

The LCM of 142,204,292,778 is 411302148.

Find LCM of 142,204,292,778 with Prime Factorization

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

2 x 2 x 71 x 51 x 73 x 389 = 411302148

Therefore, the lowest common multiple of 142,204,292,778 is 411302148.

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.

142 x 204 x 292 x 778 = 6580834368

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.

142 : 1, 2, 71, 142

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

292 : 1, 2, 4, 73, 146, 292

778 : 1, 2, 389, 778

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,204,292,778, is 2.

Now, the common factors can be found like this.

142:2x 71

204:2x 2x 3x 17

292:2x 2x 73

778:2x 389

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6580834368/(2x8)

LCM = 6580834368/16

LCM = 411302148

Thus, we can understand that the LCM of 142,204,292,778 is 411302148.

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

• LCM of 832, 316, 403, 931
• LCM of 882, 270, 764, 677
• LCM of 258, 898, 515, 446
• LCM of 871, 781, 431, 246
• LCM of 784, 555, 840, 695

1. What is the LCM of 142, 204, 292, 778?

Answer: LCM of 142, 204, 292, 778 is 411302148.

2. How to calculate the LCM of 142, 204, 292, 778?

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 142, 204, 292, 778.

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}.