Given numbers are 322,56,269

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

The LCM of 322,56,269 is 346472.

Find LCM of 322,56,269 with Prime Factorization

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

2 x 7 x 23 x 4 x 269 = 346472

Therefore, the lowest common multiple of 322,56,269 is 346472.

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.

322 x 56 x 269 = 4850608

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

56 : 1, 2, 4, 7, 8, 14, 28, 56

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,56,269, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

56:2x 2x 2x 7

269:269

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 4850608/(1x14)

LCM = 4850608/14

LCM = 346472

Thus, we can understand that the LCM of 322,56,269 is 346472.

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

• LCM of 744, 84, 272
• LCM of 983, 23, 462
• LCM of 272, 72, 580
• LCM of 659, 73, 440
• LCM of 862, 94, 908

1. What is the LCM of 322, 56, 269?

Answer: LCM of 322, 56, 269 is 346472.

2. How to calculate the LCM of 322, 56, 269?

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 322, 56, 269.

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}.