Given numbers are 740,416,850,290,546

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

The LCM of 740,416,850,290,546 is 3983834400.

Find LCM of 740,416,850,290,546 with Prime Factorization

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

2 x 2 x 5 x 13 x 37 x 8 x 85 x 29 x 21 = 3983834400

Therefore, the lowest common multiple of 740,416,850,290,546 is 3983834400.

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.

740 x 416 x 850 x 290 x 546 = 41431877760000

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.

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

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

290 : 1, 2, 5, 10, 29, 58, 145, 290

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,416,850,290,546, is 2.

Now, the common factors can be found like this.

740:2x 2x 5x 37

416:2x 2x 2x 2x 2x 13

850:2x 5x 5x 17

290:2x 5x 29

546:2x 3x 7x 13

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 5x 5x 13 = 5200

Therefore, the value for common factors is 5200.

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 = 41431877760000/(2x5200)

LCM = 41431877760000/10400

LCM = 3983834400

Thus, we can understand that the LCM of 740,416,850,290,546 is 3983834400.

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

• LCM of 968, 562, 511, 658, 814
• LCM of 234, 193, 940, 384, 266
• LCM of 910, 230, 242, 188, 761
• LCM of 646, 698, 938, 689, 712
• LCM of 186, 401, 563, 216, 449

1. What is the LCM of 740, 416, 850, 290, 546?

Answer: LCM of 740, 416, 850, 290, 546 is 3983834400.

2. How to calculate the LCM of 740, 416, 850, 290, 546?

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 740, 416, 850, 290, 546.

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}.