Given numbers are 1527,6828

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

The LCM of 1527,6828 is 3475452.

Find LCM of 1527,6828 with Prime Factorization

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

3 x 509 x 2276 = 3475452

Therefore, the lowest common multiple of 1527,6828 is 3475452.

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.

1527 x 6828 = 10426356

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.

1527 : 1, 3, 509, 1527

6828 : 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1527,6828, is 3.

Now, the common factors can be found like this.

1527:3x 509

6828:2x 2x 3x 569

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

= 1

Therefore, the value for common factors is 1.

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 = 10426356/(3x1)

LCM = 10426356/3

LCM = 3475452

Thus, we can understand that the LCM of 1527,6828 is 3475452.

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

• LCM of 2763, 6169
• LCM of 1010, 3806
• LCM of 2117, 3554
• LCM of 9628, 1229
• LCM of 3266, 7012

1. What is the LCM of 1527, 6828?

Answer: LCM of 1527, 6828 is 3475452.

2. How to calculate the LCM of 1527, 6828?

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 1527, 6828.

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}.