Given numbers are 336,984,409,774

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

The LCM of 336,984,409,774 is 726835536.

Find LCM of 336,984,409,774 with Prime Factorization

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

2 x 2 x 2 x 3 x 14 x 41 x 409 x 129 = 726835536

Therefore, the lowest common multiple of 336,984,409,774 is 726835536.

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.

336 x 984 x 409 x 774 = 104664317184

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.

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

409 : 1, 409

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,984,409,774, is 1.

Now, the common factors can be found like this.

336:2x 2x 2x 2x 3x 7

984:2x 2x 2x 3x 41

409:409

774:2x 3x 3x 43

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 104664317184/(1x144)

LCM = 104664317184/144

LCM = 726835536

Thus, we can understand that the LCM of 336,984,409,774 is 726835536.

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

• LCM of 535, 829, 470, 436
• LCM of 584, 947, 789, 803
• LCM of 372, 783, 979, 383
• LCM of 787, 426, 261, 196
• LCM of 893, 237, 656, 199

1. What is the LCM of 336, 984, 409, 774?

Answer: LCM of 336, 984, 409, 774 is 726835536.

2. How to calculate the LCM of 336, 984, 409, 774?

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 336, 984, 409, 774.

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}.