Given numbers are 142,410,409,492

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

The LCM of 142,410,409,492 is 71435940.

Find LCM of 142,410,409,492 with Prime Factorization

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

2 x 41 x 71 x 5 x 409 x 6 = 71435940

Therefore, the lowest common multiple of 142,410,409,492 is 71435940.

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 410 x 409 x 492 = 11715494160

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

410 : 1, 2, 5, 10, 41, 82, 205, 410

409 : 1, 409

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,410,409,492, is 1.

Now, the common factors can be found like this.

142:2x 71

410:2x 5x 41

409:409

492:2x 2x 3x 41

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 41 = 164

Therefore, the value for common factors is 164.

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 = 11715494160/(1x164)

LCM = 11715494160/164

LCM = 71435940

Thus, we can understand that the LCM of 142,410,409,492 is 71435940.

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

• LCM of 274, 640, 982, 498
• LCM of 372, 504, 838, 951
• LCM of 489, 365, 781, 252
• LCM of 331, 435, 937, 602
• LCM of 445, 426, 873, 399

1. What is the LCM of 142, 410, 409, 492?

Answer: LCM of 142, 410, 409, 492 is 71435940.

2. How to calculate the LCM of 142, 410, 409, 492?

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, 410, 409, 492.

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}.