Given numbers are 262,24,524

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

The LCM of 262,24,524 is 3144.

Find LCM of 262,24,524 with Prime Factorization

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

2 x 2 x 131 x 1 x 6 x 1 = 3144

Therefore, the lowest common multiple of 262,24,524 is 3144.

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 24 x 524 = 3294912

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

24 : 1, 2, 3, 4, 6, 8, 12, 24

524 : 1, 2, 4, 131, 262, 524

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 262,24,524, is 2.

Now, the common factors can be found like this.

262:2x 131

24:2x 2x 2x 3

524:2x 2x 131

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 131 = 524

Therefore, the value for common factors is 524.

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 = 3294912/(2x524)

LCM = 3294912/1048

LCM = 3144

Thus, we can understand that the LCM of 262,24,524 is 3144.

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

• LCM of 757, 18, 226
• LCM of 566, 84, 197
• LCM of 204, 47, 923
• LCM of 183, 54, 433
• LCM of 632, 93, 146

1. What is the LCM of 262, 24, 524?

Answer: LCM of 262, 24, 524 is 3144.

2. How to calculate the LCM of 262, 24, 524?

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, 24, 524.

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}.