Given numbers are 506,504,274

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

The LCM of 506,504,274 is 17469144.

Find LCM of 506,504,274 with Prime Factorization

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

2 x 253 x 252 x 137 = 17469144

Therefore, the lowest common multiple of 506,504,274 is 17469144.

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.

506 x 504 x 274 = 69876576

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.

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

274 : 1, 2, 137, 274

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,504,274, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

504:2x 2x 2x 3x 3x 7

274:2x 137

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 = 69876576/(2x2)

LCM = 69876576/4

LCM = 17469144

Thus, we can understand that the LCM of 506,504,274 is 17469144.

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

• LCM of 896, 198, 436
• LCM of 965, 317, 398
• LCM of 778, 604, 252
• LCM of 910, 830, 257
• LCM of 642, 844, 231

1. What is the LCM of 506, 504, 274?

Answer: LCM of 506, 504, 274 is 17469144.

2. How to calculate the LCM of 506, 504, 274?

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 506, 504, 274.

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}.