Given numbers are 296,253,319,682

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

The LCM of 296,253,319,682 is 67324312.

Find LCM of 296,253,319,682 with Prime Factorization

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

2 x 11 x 148 x 23 x 29 x 31 = 67324312

Therefore, the lowest common multiple of 296,253,319,682 is 67324312.

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.

296 x 253 x 319 x 682 = 16292483504

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

253 : 1, 11, 23, 253

319 : 1, 11, 29, 319

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,253,319,682, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

253:11x 23

319:11x 29

682:2x 11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 16292483504/(1x242)

LCM = 16292483504/242

LCM = 67324312

Thus, we can understand that the LCM of 296,253,319,682 is 67324312.

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

• LCM of 329, 144, 720, 228
• LCM of 978, 648, 409, 213
• LCM of 678, 506, 987, 264
• LCM of 850, 250, 903, 537
• LCM of 436, 447, 144, 532

1. What is the LCM of 296, 253, 319, 682?

Answer: LCM of 296, 253, 319, 682 is 67324312.

2. How to calculate the LCM of 296, 253, 319, 682?

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 296, 253, 319, 682.

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}.