Given numbers are 564,535,358,381

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

The LCM of 564,535,358,381 is 6859455420.

Find LCM of 564,535,358,381 with Prime Factorization

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

2 x 3 x 94 x 535 x 179 x 127 = 6859455420

Therefore, the lowest common multiple of 564,535,358,381 is 6859455420.

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.

564 x 535 x 358 x 381 = 41156732520

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.

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

535 : 1, 5, 107, 535

358 : 1, 2, 179, 358

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,535,358,381, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

535:5x 107

358:2x 179

381:3x 127

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 41156732520/(1x6)

LCM = 41156732520/6

LCM = 6859455420

Thus, we can understand that the LCM of 564,535,358,381 is 6859455420.

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

• LCM of 629, 444, 880, 847
• LCM of 650, 628, 743, 701
• LCM of 968, 672, 398, 571
• LCM of 667, 851, 767, 153
• LCM of 385, 967, 484, 241

1. What is the LCM of 564, 535, 358, 381?

Answer: LCM of 564, 535, 358, 381 is 6859455420.

2. How to calculate the LCM of 564, 535, 358, 381?

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 564, 535, 358, 381.

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}.