Given numbers are 262,75,498

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

The LCM of 262,75,498 is 1630950.

Find LCM of 262,75,498 with Prime Factorization

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

2 x 3 x 131 x 25 x 83 = 1630950

Therefore, the lowest common multiple of 262,75,498 is 1630950.

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.

262 x 75 x 498 = 9785700

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.

262 : 1, 2, 131, 262

75 : 1, 3, 5, 15, 25, 75

498 : 1, 2, 3, 6, 83, 166, 249, 498

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,75,498, is 1.

Now, the common factors can be found like this.

262:2x 131

75:3x 5x 5

498:2x 3x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 9785700/(1x6)

LCM = 9785700/6

LCM = 1630950

Thus, we can understand that the LCM of 262,75,498 is 1630950.

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

• LCM of 780, 14, 341
• LCM of 571, 74, 573
• LCM of 356, 81, 584
• LCM of 120, 23, 258
• LCM of 280, 40, 760

1. What is the LCM of 262, 75, 498?

Answer: LCM of 262, 75, 498 is 1630950.

2. How to calculate the LCM of 262, 75, 498?

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 262, 75, 498.

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}.