Given numbers are 276,411,714,828

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

The LCM of 276,411,714,828 is 13498884.

Find LCM of 276,411,714,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 137 x 119 x 3 = 13498884

Therefore, the lowest common multiple of 276,411,714,828 is 13498884.

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 411 x 714 x 828 = 67062455712

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

411 : 1, 3, 137, 411

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,411,714,828, is 3.

Now, the common factors can be found like this.

276:2x 2x 3x 23

411:3x 137

714:2x 3x 7x 17

828:2x 2x 3x 3x 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 3x 3x 23 = 1656

Therefore, the value for common factors is 1656.

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 = 67062455712/(3x1656)

LCM = 67062455712/4968

LCM = 13498884

Thus, we can understand that the LCM of 276,411,714,828 is 13498884.

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

• LCM of 693, 904, 817, 317
• LCM of 763, 476, 294, 473
• LCM of 969, 180, 764, 238
• LCM of 103, 554, 478, 749
• LCM of 675, 605, 869, 945

1. What is the LCM of 276, 411, 714, 828?

Answer: LCM of 276, 411, 714, 828 is 13498884.

2. How to calculate the LCM of 276, 411, 714, 828?

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, 411, 714, 828.

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}.