Given numbers are 66,49,676

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

The LCM of 66,49,676 is 1093092.

Find LCM of 66,49,676 with Prime Factorization

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

2 x 33 x 49 x 338 = 1093092

Therefore, the lowest common multiple of 66,49,676 is 1093092.

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.

66 x 49 x 676 = 2186184

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.

66 : 1, 2, 3, 6, 11, 22, 33, 66

49 : 1, 7, 49

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 66,49,676, is 1.

Now, the common factors can be found like this.

66:2x 3x 11

49:7x 7

676:2x 2x 13x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 2186184/(1x2)

LCM = 2186184/2

LCM = 1093092

Thus, we can understand that the LCM of 66,49,676 is 1093092.

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

• LCM of 12, 22, 420
• LCM of 48, 46, 911
• LCM of 77, 22, 579
• LCM of 55, 78, 320
• LCM of 76, 65, 368

1. What is the LCM of 66, 49, 676?

Answer: LCM of 66, 49, 676 is 1093092.

2. How to calculate the LCM of 66, 49, 676?

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 66, 49, 676.

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}.