Given numbers are 1649,2176

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

The LCM of 1649,2176 is 211072.

Find LCM of 1649,2176 with Prime Factorization

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

17 x 97 x 128 = 211072

Therefore, the lowest common multiple of 1649,2176 is 211072.

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.

1649 x 2176 = 3588224

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.

1649 : 1, 17, 97, 1649

2176 : 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1649,2176, is 17.

Now, the common factors can be found like this.

1649:17x 97

2176:2x 2x 2x 2x 2x 2x 2x 17

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 = 3588224/(17x1)

LCM = 3588224/17

LCM = 211072

Thus, we can understand that the LCM of 1649,2176 is 211072.

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

• LCM of 2294, 7204
• LCM of 1327, 3213
• LCM of 7329, 7047
• LCM of 1262, 5663
• LCM of 2013, 8775

1. What is the LCM of 1649, 2176?

Answer: LCM of 1649, 2176 is 211072.

2. How to calculate the LCM of 1649, 2176?

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 1649, 2176.

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}.