Given numbers are 738,461,676

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

The LCM of 738,461,676 is 114993684.

Find LCM of 738,461,676 with Prime Factorization

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

2 x 369 x 461 x 338 = 114993684

Therefore, the lowest common multiple of 738,461,676 is 114993684.

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.

738 x 461 x 676 = 229987368

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

461 : 1, 461

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 738,461,676, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

461:461

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 = 229987368/(1x2)

LCM = 229987368/2

LCM = 114993684

Thus, we can understand that the LCM of 738,461,676 is 114993684.

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

• LCM of 536, 743, 267
• LCM of 859, 724, 134
• LCM of 296, 659, 942
• LCM of 829, 422, 180
• LCM of 892, 760, 778

1. What is the LCM of 738, 461, 676?

Answer: LCM of 738, 461, 676 is 114993684.

2. How to calculate the LCM of 738, 461, 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 738, 461, 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}.