Given numbers are 354,268,269,236

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

The LCM of 354,268,269,236 is 12760284.

Find LCM of 354,268,269,236 with Prime Factorization

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

2 x 2 x 59 x 3 x 67 x 269 x 1 = 12760284

Therefore, the lowest common multiple of 354,268,269,236 is 12760284.

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.

354 x 268 x 269 x 236 = 6022854048

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

268 : 1, 2, 4, 67, 134, 268

269 : 1, 269

236 : 1, 2, 4, 59, 118, 236

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,268,269,236, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

268:2x 2x 67

269:269

236:2x 2x 59

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 59 = 472

Therefore, the value for common factors is 472.

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 = 6022854048/(1x472)

LCM = 6022854048/472

LCM = 12760284

Thus, we can understand that the LCM of 354,268,269,236 is 12760284.

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

• LCM of 841, 240, 744, 527
• LCM of 878, 523, 109, 747
• LCM of 442, 824, 483, 516
• LCM of 850, 996, 271, 378
• LCM of 869, 245, 432, 408

1. What is the LCM of 354, 268, 269, 236?

Answer: LCM of 354, 268, 269, 236 is 12760284.

2. How to calculate the LCM of 354, 268, 269, 236?

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 354, 268, 269, 236.

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}.