Given numbers are 538,73,269

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

The LCM of 538,73,269 is 39274.

Find LCM of 538,73,269 with Prime Factorization

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

269 x 2 x 73 x 1 = 39274

Therefore, the lowest common multiple of 538,73,269 is 39274.

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.

538 x 73 x 269 = 10564706

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.

538 : 1, 2, 269, 538

73 : 1, 73

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,73,269, is 1.

Now, the common factors can be found like this.

538:2x 269

73:73

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.

269 = 269

Therefore, the value for common factors is 269.

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 = 10564706/(1x269)

LCM = 10564706/269

LCM = 39274

Thus, we can understand that the LCM of 538,73,269 is 39274.

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

• LCM of 526, 87, 984
• LCM of 777, 60, 887
• LCM of 216, 24, 212
• LCM of 983, 70, 685
• LCM of 330, 99, 675

1. What is the LCM of 538, 73, 269?

Answer: LCM of 538, 73, 269 is 39274.

2. How to calculate the LCM of 538, 73, 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 538, 73, 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}.