Given numbers are 564,442,127,410,486

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

The LCM of 564,442,127,410,486 is 262853629740.

Find LCM of 564,442,127,410,486 with Prime Factorization

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

2 x 3 x 94 x 221 x 127 x 205 x 81 = 262853629740

Therefore, the lowest common multiple of 564,442,127,410,486 is 262853629740.

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 442 x 127 x 410 x 486 = 6308487113760

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

127 : 1, 127

410 : 1, 2, 5, 10, 41, 82, 205, 410

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,442,127,410,486, is 1.

Now, the common factors can be found like this.

564:2x 2x 3x 47

442:2x 13x 17

127:127

410:2x 5x 41

486:2x 3x 3x 3x 3x 3

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

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 6308487113760/(1x24)

LCM = 6308487113760/24

LCM = 262853629740

Thus, we can understand that the LCM of 564,442,127,410,486 is 262853629740.

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

• LCM of 811, 554, 192, 464, 319
• LCM of 708, 459, 734, 653, 139
• LCM of 787, 124, 997, 940, 268
• LCM of 625, 230, 372, 184, 357
• LCM of 532, 676, 804, 672, 204

1. What is the LCM of 564, 442, 127, 410, 486?

Answer: LCM of 564, 442, 127, 410, 486 is 262853629740.

2. How to calculate the LCM of 564, 442, 127, 410, 486?

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, 442, 127, 410, 486.

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}.