Given numbers are 465,528,447,566,670

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

The LCM of 465,528,447,566,670 is 231213467760.

Find LCM of 465,528,447,566,670 with Prime Factorization

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

2 x 3 x 5 x 31 x 88 x 149 x 283 x 67 = 231213467760

Therefore, the lowest common multiple of 465,528,447,566,670 is 231213467760.

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.

465 x 528 x 447 x 566 x 670 = 41618424196800

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.

465 : 1, 3, 5, 15, 31, 93, 155, 465

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

447 : 1, 3, 149, 447

566 : 1, 2, 283, 566

670 : 1, 2, 5, 10, 67, 134, 335, 670

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,528,447,566,670, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

528:2x 2x 2x 2x 3x 11

447:3x 149

566:2x 283

670:2x 5x 67

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 41618424196800/(1x180)

LCM = 41618424196800/180

LCM = 231213467760

Thus, we can understand that the LCM of 465,528,447,566,670 is 231213467760.

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

• LCM of 235, 874, 575, 838, 761
• LCM of 485, 451, 170, 254, 404
• LCM of 205, 652, 282, 334, 236
• LCM of 231, 288, 494, 572, 978
• LCM of 260, 778, 940, 149, 993

1. What is the LCM of 465, 528, 447, 566, 670?

Answer: LCM of 465, 528, 447, 566, 670 is 231213467760.

2. How to calculate the LCM of 465, 528, 447, 566, 670?

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 465, 528, 447, 566, 670.

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}.