Given numbers are 276,492,528,506

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

The LCM of 276,492,528,506 is 497904.

Find LCM of 276,492,528,506 with Prime Factorization

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

2 x 2 x 3 x 11 x 23 x 1 x 41 x 4 x 1 = 497904

Therefore, the lowest common multiple of 276,492,528,506 is 497904.

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.

276 x 492 x 528 x 506 = 36279277056

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.

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,492,528,506, is 2.

Now, the common factors can be found like this.

276:2x 2x 3x 23

492:2x 2x 3x 41

528:2x 2x 2x 2x 3x 11

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.

2x 2x 2x 2x 3x 3x 11x 23 = 36432

Therefore, the value for common factors is 36432.

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 = 36279277056/(2x36432)

LCM = 36279277056/72864

LCM = 497904

Thus, we can understand that the LCM of 276,492,528,506 is 497904.

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

• LCM of 391, 399, 698, 919
• LCM of 664, 953, 260, 279
• LCM of 513, 871, 610, 493
• LCM of 283, 904, 966, 954
• LCM of 208, 903, 254, 443

1. What is the LCM of 276, 492, 528, 506?

Answer: LCM of 276, 492, 528, 506 is 497904.

2. How to calculate the LCM of 276, 492, 528, 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 276, 492, 528, 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}.