Given numbers are 467,354,538,676

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

The LCM of 467,354,538,676 is 15031043196.

Find LCM of 467,354,538,676 with Prime Factorization

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

2 x 467 x 177 x 269 x 338 = 15031043196

Therefore, the lowest common multiple of 467,354,538,676 is 15031043196.

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.

467 x 354 x 538 x 676 = 60124172784

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.

467 : 1, 467

354 : 1, 2, 3, 6, 59, 118, 177, 354

538 : 1, 2, 269, 538

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 467,354,538,676, is 1.

Now, the common factors can be found like this.

467:467

354:2x 3x 59

538:2x 269

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 = 60124172784/(1x4)

LCM = 60124172784/4

LCM = 15031043196

Thus, we can understand that the LCM of 467,354,538,676 is 15031043196.

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

• LCM of 298, 801, 380, 546
• LCM of 467, 847, 248, 463
• LCM of 462, 888, 593, 113
• LCM of 685, 629, 588, 578
• LCM of 463, 948, 297, 331

1. What is the LCM of 467, 354, 538, 676?

Answer: LCM of 467, 354, 538, 676 is 15031043196.

2. How to calculate the LCM of 467, 354, 538, 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 467, 354, 538, 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}.