Given numbers are 9741,6112

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

The LCM of 9741,6112 is 311712.

Find LCM of 9741,6112 with Prime Factorization

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

191 x 51 x 32 = 311712

Therefore, the lowest common multiple of 9741,6112 is 311712.

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.

9741 x 6112 = 59536992

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.

9741 : 1, 3, 17, 51, 191, 573, 3247, 9741

6112 : 1, 2, 4, 8, 16, 32, 191, 382, 764, 1528, 3056, 6112

191 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9741,6112, is 191.

Now, the common factors can be found like this.

9741:3x 17x 191

6112:2x 2x 2x 2x 2x 191

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 = 59536992/(191x1)

LCM = 59536992/191

LCM = 311712

Thus, we can understand that the LCM of 9741,6112 is 311712.

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

• LCM of 3169, 6834
• LCM of 9971, 7044
• LCM of 7478, 1779
• LCM of 8952, 4324
• LCM of 3813, 8996

1. What is the LCM of 9741, 6112?

Answer: LCM of 9741, 6112 is 311712.

2. How to calculate the LCM of 9741, 6112?

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 9741, 6112.

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}.