Given numbers are 584,374,544,313,740

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

The LCM of 584,374,544,313,740 is 25294756960.

Find LCM of 584,374,544,313,740 with Prime Factorization

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

2 x 2 x 2 x 17 x 73 x 11 x 4 x 313 x 185 = 25294756960

Therefore, the lowest common multiple of 584,374,544,313,740 is 25294756960.

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 374 x 544 x 313 x 740 = 27520695572480

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

313 : 1, 313

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,374,544,313,740, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

374:2x 11x 17

544:2x 2x 2x 2x 2x 17

313:313

740:2x 2x 5x 37

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 17 = 1088

Therefore, the value for common factors is 1088.

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 = 27520695572480/(1x1088)

LCM = 27520695572480/1088

LCM = 25294756960

Thus, we can understand that the LCM of 584,374,544,313,740 is 25294756960.

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

• LCM of 314, 514, 817, 108, 785
• LCM of 569, 973, 590, 543, 426
• LCM of 730, 403, 700, 285, 196
• LCM of 389, 178, 859, 165, 479
• LCM of 314, 794, 871, 907, 428

1. What is the LCM of 584, 374, 544, 313, 740?

Answer: LCM of 584, 374, 544, 313, 740 is 25294756960.

2. How to calculate the LCM of 584, 374, 544, 313, 740?

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, 374, 544, 313, 740.

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}.