Given numbers are 547,784,135,676

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

The LCM of 547,784,135,676 is 9784167120.

Find LCM of 547,784,135,676 with Prime Factorization

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

2 x 2 x 547 x 196 x 135 x 169 = 9784167120

Therefore, the lowest common multiple of 547,784,135,676 is 9784167120.

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.

547 x 784 x 135 x 676 = 39136668480

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.

547 : 1, 547

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

135 : 1, 3, 5, 9, 15, 27, 45, 135

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 547,784,135,676, is 1.

Now, the common factors can be found like this.

547:547

784:2x 2x 2x 2x 7x 7

135:3x 3x 3x 5

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 39136668480/(1x4)

LCM = 39136668480/4

LCM = 9784167120

Thus, we can understand that the LCM of 547,784,135,676 is 9784167120.

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

• LCM of 823, 665, 415, 824
• LCM of 254, 510, 148, 696
• LCM of 706, 477, 156, 727
• LCM of 418, 559, 322, 170
• LCM of 317, 900, 244, 323

1. What is the LCM of 547, 784, 135, 676?

Answer: LCM of 547, 784, 135, 676 is 9784167120.

2. How to calculate the LCM of 547, 784, 135, 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 547, 784, 135, 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}.