Given numbers are 6870,8546

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

The LCM of 6870,8546 is 29355510.

Find LCM of 6870,8546 with Prime Factorization

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

2 x 3435 x 4273 = 29355510

Therefore, the lowest common multiple of 6870,8546 is 29355510.

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.

6870 x 8546 = 58711020

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.

6870 : 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870

8546 : 1, 2, 4273, 8546

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6870,8546, is 2.

Now, the common factors can be found like this.

6870:2x 3x 5x 229

8546:2x 4273

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 = 58711020/(2x1)

LCM = 58711020/2

LCM = 29355510

Thus, we can understand that the LCM of 6870,8546 is 29355510.

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

• LCM of 2223, 5877
• LCM of 6099, 5701
• LCM of 5696, 7089
• LCM of 7852, 6289
• LCM of 1732, 5876

1. What is the LCM of 6870, 8546?

Answer: LCM of 6870, 8546 is 29355510.

2. How to calculate the LCM of 6870, 8546?

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 6870, 8546.

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}.