Given numbers are 584,912,578,201,540

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

The LCM of 584,912,578,201,540 is 58009998960.

Find LCM of 584,912,578,201,540 with Prime Factorization

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

2 x 2 x 2 x 3 x 73 x 38 x 289 x 67 x 45 = 58009998960

Therefore, the lowest common multiple of 584,912,578,201,540 is 58009998960.

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 912 x 578 x 201 x 540 = 33413759400960

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

578 : 1, 2, 17, 34, 289, 578

201 : 1, 3, 67, 201

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,912,578,201,540, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

912:2x 2x 2x 2x 3x 19

578:2x 17x 17

201:3x 67

540:2x 2x 3x 3x 3x 5

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 3 = 576

Therefore, the value for common factors is 576.

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 = 33413759400960/(1x576)

LCM = 33413759400960/576

LCM = 58009998960

Thus, we can understand that the LCM of 584,912,578,201,540 is 58009998960.

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

• LCM of 710, 820, 372, 641, 402
• LCM of 632, 817, 621, 684, 358
• LCM of 883, 830, 755, 779, 136
• LCM of 551, 230, 750, 779, 113
• LCM of 572, 266, 712, 610, 513

1. What is the LCM of 584, 912, 578, 201, 540?

Answer: LCM of 584, 912, 578, 201, 540 is 58009998960.

2. How to calculate the LCM of 584, 912, 578, 201, 540?

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, 912, 578, 201, 540.

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}.