Given numbers are 224,562,612,132,308

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

The LCM of 224,562,612,132,308 is 105934752.

Find LCM of 224,562,612,132,308 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 8 x 281 x 51 x 1 x 1 = 105934752

Therefore, the lowest common multiple of 224,562,612,132,308 is 105934752.

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.

224 x 562 x 612 x 132 x 308 = 3132278747136

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

562 : 1, 2, 281, 562

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,562,612,132,308, is 2.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

562:2x 281

612:2x 2x 3x 3x 17

132:2x 2x 3x 11

308:2x 2x 7x 11

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 2x 2x 2x 3x 7x 11 = 14784

Therefore, the value for common factors is 14784.

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 = 3132278747136/(2x14784)

LCM = 3132278747136/29568

LCM = 105934752

Thus, we can understand that the LCM of 224,562,612,132,308 is 105934752.

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

• LCM of 792, 187, 625, 930, 692
• LCM of 516, 196, 233, 300, 606
• LCM of 156, 865, 196, 870, 607
• LCM of 966, 681, 341, 404, 807
• LCM of 514, 890, 860, 454, 215

1. What is the LCM of 224, 562, 612, 132, 308?

Answer: LCM of 224, 562, 612, 132, 308 is 105934752.

2. How to calculate the LCM of 224, 562, 612, 132, 308?

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 224, 562, 612, 132, 308.

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}.