Given numbers are 269,274,506

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

The LCM of 269,274,506 is 18647618.

Find LCM of 269,274,506 with Prime Factorization

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

2 x 269 x 137 x 253 = 18647618

Therefore, the lowest common multiple of 269,274,506 is 18647618.

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.

269 x 274 x 506 = 37295236

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.

269 : 1, 269

274 : 1, 2, 137, 274

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,274,506, is 1.

Now, the common factors can be found like this.

269:269

274:2x 137

506:2x 11x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 37295236/(1x2)

LCM = 37295236/2

LCM = 18647618

Thus, we can understand that the LCM of 269,274,506 is 18647618.

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

• LCM of 971, 415, 277
• LCM of 395, 992, 983
• LCM of 425, 825, 465
• LCM of 372, 605, 871
• LCM of 952, 192, 620

1. What is the LCM of 269, 274, 506?

Answer: LCM of 269, 274, 506 is 18647618.

2. How to calculate the LCM of 269, 274, 506?

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 269, 274, 506.

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}.