Given numbers are 492,129,447,961,175

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

The LCM of 492,129,447,961,175 is 530128634700.

Find LCM of 492,129,447,961,175 with Prime Factorization

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

3 x 164 x 43 x 149 x 961 x 175 = 530128634700

Therefore, the lowest common multiple of 492,129,447,961,175 is 530128634700.

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.

492 x 129 x 447 x 961 x 175 = 4771157712300

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.

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

129 : 1, 3, 43, 129

447 : 1, 3, 149, 447

961 : 1, 31, 961

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,129,447,961,175, is 1.

Now, the common factors can be found like this.

492:2x 2x 3x 41

129:3x 43

447:3x 149

961:31x 31

175:5x 5x 7

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 4771157712300/(1x9)

LCM = 4771157712300/9

LCM = 530128634700

Thus, we can understand that the LCM of 492,129,447,961,175 is 530128634700.

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

• LCM of 801, 443, 370, 758, 809
• LCM of 305, 761, 676, 929, 182
• LCM of 969, 895, 370, 614, 771
• LCM of 409, 605, 369, 295, 254
• LCM of 241, 278, 258, 188, 859

1. What is the LCM of 492, 129, 447, 961, 175?

Answer: LCM of 492, 129, 447, 961, 175 is 530128634700.

2. How to calculate the LCM of 492, 129, 447, 961, 175?

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 492, 129, 447, 961, 175.

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}.