Given numbers are 735,125,672,188,224

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

The LCM of 735,125,672,188,224 is 27636000.

Find LCM of 735,125,672,188,224 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 1 x 25 x 1 x 47 x 7 = 27636000

Therefore, the lowest common multiple of 735,125,672,188,224 is 27636000.

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.

735 x 125 x 672 x 188 x 224 = 2599994880000

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

125 : 1, 5, 25, 125

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

188 : 1, 2, 4, 47, 94, 188

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,125,672,188,224, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

125:5x 5x 5

672:2x 2x 2x 2x 2x 3x 7

188:2x 2x 47

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

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 2x 3x 5x 7x 7 = 94080

Therefore, the value for common factors is 94080.

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 = 2599994880000/(1x94080)

LCM = 2599994880000/94080

LCM = 27636000

Thus, we can understand that the LCM of 735,125,672,188,224 is 27636000.

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

• LCM of 534, 603, 547, 513, 961
• LCM of 933, 168, 578, 858, 580
• LCM of 186, 196, 437, 449, 872
• LCM of 670, 334, 603, 389, 648
• LCM of 114, 540, 927, 200, 295

1. What is the LCM of 735, 125, 672, 188, 224?

Answer: LCM of 735, 125, 672, 188, 224 is 27636000.

2. How to calculate the LCM of 735, 125, 672, 188, 224?

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 735, 125, 672, 188, 224.

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}.