Given numbers are 584,201,360,920

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

The LCM of 584,201,360,920 is 40497480.

Find LCM of 584,201,360,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 73 x 67 x 3 x 23 = 40497480

Therefore, the lowest common multiple of 584,201,360,920 is 40497480.

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.

584 x 201 x 360 x 920 = 38877580800

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

201 : 1, 3, 67, 201

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,201,360,920, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

201:3x 67

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

920:2x 2x 2x 5x 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 5 = 960

Therefore, the value for common factors is 960.

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 = 38877580800/(1x960)

LCM = 38877580800/960

LCM = 40497480

Thus, we can understand that the LCM of 584,201,360,920 is 40497480.

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

• LCM of 703, 534, 990, 706
• LCM of 509, 352, 967, 593
• LCM of 606, 890, 953, 920
• LCM of 958, 591, 547, 673
• LCM of 400, 598, 598, 345

1. What is the LCM of 584, 201, 360, 920?

Answer: LCM of 584, 201, 360, 920 is 40497480.

2. How to calculate the LCM of 584, 201, 360, 920?

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 584, 201, 360, 920.

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}.