Given numbers are 740,924,684,286,204

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

The LCM of 740,924,684,286,204 is 2153331180.

Find LCM of 740,924,684,286,204 with Prime Factorization

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

2 x 2 x 3 x 11 x 185 x 7 x 57 x 13 x 17 = 2153331180

Therefore, the lowest common multiple of 740,924,684,286,204 is 2153331180.

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 924 x 684 x 286 x 204 = 27287012712960

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

286 : 1, 2, 11, 13, 22, 26, 143, 286

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 740,924,684,286,204, is 2.

Now, the common factors can be found like this.

740:2x 2x 5x 37

924:2x 2x 3x 7x 11

684:2x 2x 3x 3x 19

286:2x 11x 13

204:2x 2x 3x 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 2x 2x 2x 3x 3x 11 = 6336

Therefore, the value for common factors is 6336.

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 = 27287012712960/(2x6336)

LCM = 27287012712960/12672

LCM = 2153331180

Thus, we can understand that the LCM of 740,924,684,286,204 is 2153331180.

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

• LCM of 536, 789, 329, 119, 418
• LCM of 974, 891, 648, 876, 611
• LCM of 916, 104, 165, 300, 256
• LCM of 252, 295, 908, 345, 799
• LCM of 716, 974, 929, 555, 559

1. What is the LCM of 740, 924, 684, 286, 204?

Answer: LCM of 740, 924, 684, 286, 204 is 2153331180.

2. How to calculate the LCM of 740, 924, 684, 286, 204?

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, 924, 684, 286, 204.

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}.