Given numbers are 675,188,660,180,749

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

The LCM of 675,188,660,180,749 is 1045529100.

Find LCM of 675,188,660,180,749 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 15 x 47 x 11 x 1 x 749 = 1045529100

Therefore, the lowest common multiple of 675,188,660,180,749 is 1045529100.

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.

675 x 188 x 660 x 180 x 749 = 11291714280000

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.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,188,660,180,749, is 1.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

188:2x 2x 47

660:2x 2x 3x 5x 11

180:2x 2x 3x 3x 5

749:7x 107

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 5x 5 = 10800

Therefore, the value for common factors is 10800.

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 = 11291714280000/(1x10800)

LCM = 11291714280000/10800

LCM = 1045529100

Thus, we can understand that the LCM of 675,188,660,180,749 is 1045529100.

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

• LCM of 223, 632, 682, 211, 280
• LCM of 487, 789, 702, 322, 809
• LCM of 328, 789, 933, 443, 171
• LCM of 842, 777, 410, 290, 100
• LCM of 235, 116, 443, 191, 152

1. What is the LCM of 675, 188, 660, 180, 749?

Answer: LCM of 675, 188, 660, 180, 749 is 1045529100.

2. How to calculate the LCM of 675, 188, 660, 180, 749?

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 675, 188, 660, 180, 749.

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}.