Given numbers are 480,170,565,340

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

The LCM of 480,170,565,340 is 922080.

Find LCM of 480,170,565,340 with Prime Factorization

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

2 x 2 x 5 x 17 x 24 x 1 x 113 x 1 = 922080

Therefore, the lowest common multiple of 480,170,565,340 is 922080.

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.

480 x 170 x 565 x 340 = 15675360000

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

170 : 1, 2, 5, 10, 17, 34, 85, 170

565 : 1, 5, 113, 565

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,170,565,340, is 5.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

170:2x 5x 17

565:5x 113

340:2x 2x 5x 17

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 5x 5x 17 = 3400

Therefore, the value for common factors is 3400.

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 = 15675360000/(5x3400)

LCM = 15675360000/17000

LCM = 922080

Thus, we can understand that the LCM of 480,170,565,340 is 922080.

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

• LCM of 353, 822, 253, 978
• LCM of 675, 548, 985, 367
• LCM of 926, 554, 361, 518
• LCM of 937, 758, 575, 882
• LCM of 467, 862, 790, 579

1. What is the LCM of 480, 170, 565, 340?

Answer: LCM of 480, 170, 565, 340 is 922080.

2. How to calculate the LCM of 480, 170, 565, 340?

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 480, 170, 565, 340.

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}.