Given numbers are 492,412,524

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

The LCM of 492,412,524 is 6638556.

Find LCM of 492,412,524 with Prime Factorization

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

2 x 2 x 123 x 103 x 131 = 6638556

Therefore, the lowest common multiple of 492,412,524 is 6638556.

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.

492 x 412 x 524 = 106216896

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.

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

412 : 1, 2, 4, 103, 206, 412

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,412,524, is 4.

Now, the common factors can be found like this.

492:2x 2x 3x 41

412:2x 2x 103

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 2 = 4

Therefore, the value for common factors is 4.

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 = 106216896/(4x4)

LCM = 106216896/16

LCM = 6638556

Thus, we can understand that the LCM of 492,412,524 is 6638556.

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

• LCM of 392, 687, 123
• LCM of 480, 130, 309
• LCM of 345, 442, 149
• LCM of 355, 521, 765
• LCM of 994, 383, 817

1. What is the LCM of 492, 412, 524?

Answer: LCM of 492, 412, 524 is 6638556.

2. How to calculate the LCM of 492, 412, 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 492, 412, 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}.