Given numbers are 468,561,471,165,649

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

The LCM of 468,561,471,165,649 is 4053303540.

Find LCM of 468,561,471,165,649 with Prime Factorization

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

3 x 11 x 156 x 17 x 157 x 5 x 59 = 4053303540

Therefore, the lowest common multiple of 468,561,471,165,649 is 4053303540.

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.

468 x 561 x 471 x 165 x 649 = 13242142665180

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

561 : 1, 3, 11, 17, 33, 51, 187, 561

471 : 1, 3, 157, 471

165 : 1, 3, 5, 11, 15, 33, 55, 165

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,561,471,165,649, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

561:3x 11x 17

471:3x 157

165:3x 5x 11

649:11x 59

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

3x 3x 3x 11x 11 = 3267

Therefore, the value for common factors is 3267.

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 = 13242142665180/(1x3267)

LCM = 13242142665180/3267

LCM = 4053303540

Thus, we can understand that the LCM of 468,561,471,165,649 is 4053303540.

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

• LCM of 734, 965, 631, 390, 189
• LCM of 647, 499, 507, 832, 384
• LCM of 639, 602, 669, 637, 820
• LCM of 247, 113, 436, 200, 718
• LCM of 862, 728, 342, 650, 426

1. What is the LCM of 468, 561, 471, 165, 649?

Answer: LCM of 468, 561, 471, 165, 649 is 4053303540.

2. How to calculate the LCM of 468, 561, 471, 165, 649?

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 468, 561, 471, 165, 649.

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}.