Given numbers are 476,105,149,936,684

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

The LCM of 476,105,149,936,684 is 1576640520.

Find LCM of 476,105,149,936,684 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 17 x 5 x 149 x 26 x 19 = 1576640520

Therefore, the lowest common multiple of 476,105,149,936,684 is 1576640520.

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.

476 x 105 x 149 x 936 x 684 = 4767760932480

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.

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

105 : 1, 3, 5, 7, 15, 21, 35, 105

149 : 1, 149

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,105,149,936,684, is 1.

Now, the common factors can be found like this.

476:2x 2x 7x 17

105:3x 5x 7

149:149

936:2x 2x 2x 3x 3x 13

684:2x 2x 3x 3x 19

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 3x 3x 3x 7 = 3024

Therefore, the value for common factors is 3024.

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 = 4767760932480/(1x3024)

LCM = 4767760932480/3024

LCM = 1576640520

Thus, we can understand that the LCM of 476,105,149,936,684 is 1576640520.

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

• LCM of 945, 105, 633, 629, 320
• LCM of 829, 247, 370, 477, 408
• LCM of 668, 235, 926, 936, 293
• LCM of 895, 840, 130, 982, 180
• LCM of 191, 836, 981, 360, 456

1. What is the LCM of 476, 105, 149, 936, 684?

Answer: LCM of 476, 105, 149, 936, 684 is 1576640520.

2. How to calculate the LCM of 476, 105, 149, 936, 684?

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 476, 105, 149, 936, 684.

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}.