Given numbers are 465,520,360,326,828

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

The LCM of 465,520,360,326,828 is 543904920.

Find LCM of 465,520,360,326,828 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 31 x 13 x 1 x 163 x 23 = 543904920

Therefore, the lowest common multiple of 465,520,360,326,828 is 543904920.

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 520 x 360 x 326 x 828 = 23496692544000

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

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

326 : 1, 2, 163, 326

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,520,360,326,828, is 1.

Now, the common factors can be found like this.

465:3x 5x 31

520:2x 2x 2x 5x 13

360:2x 2x 2x 3x 3x 5

326:2x 163

828:2x 2x 3x 3x 23

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 3x 3x 3x 5x 5 = 43200

Therefore, the value for common factors is 43200.

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 = 23496692544000/(1x43200)

LCM = 23496692544000/43200

LCM = 543904920

Thus, we can understand that the LCM of 465,520,360,326,828 is 543904920.

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

• LCM of 144, 941, 558, 880, 170
• LCM of 625, 755, 678, 813, 813
• LCM of 220, 107, 820, 587, 362
• LCM of 588, 407, 623, 391, 207
• LCM of 783, 287, 796, 461, 832

1. What is the LCM of 465, 520, 360, 326, 828?

Answer: LCM of 465, 520, 360, 326, 828 is 543904920.

2. How to calculate the LCM of 465, 520, 360, 326, 828?

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, 520, 360, 326, 828.

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}.