Given numbers are 528,828,414,119,457

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

The LCM of 528,828,414,119,457 is 1981281456.

Find LCM of 528,828,414,119,457 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 44 x 1 x 1 x 119 x 457 = 1981281456

Therefore, the lowest common multiple of 528,828,414,119,457 is 1981281456.

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.

528 x 828 x 414 x 119 x 457 = 9843006273408

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.

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

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

119 : 1, 7, 17, 119

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,828,414,119,457, is 1.

Now, the common factors can be found like this.

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

828:2x 2x 3x 3x 23

414:2x 3x 3x 23

119:7x 17

457:457

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 3x 23 = 4968

Therefore, the value for common factors is 4968.

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 = 9843006273408/(1x4968)

LCM = 9843006273408/4968

LCM = 1981281456

Thus, we can understand that the LCM of 528,828,414,119,457 is 1981281456.

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

• LCM of 616, 550, 933, 221, 889
• LCM of 914, 334, 363, 587, 325
• LCM of 248, 624, 685, 290, 282
• LCM of 612, 912, 568, 386, 327
• LCM of 816, 404, 167, 162, 785

1. What is the LCM of 528, 828, 414, 119, 457?

Answer: LCM of 528, 828, 414, 119, 457 is 1981281456.

2. How to calculate the LCM of 528, 828, 414, 119, 457?

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 528, 828, 414, 119, 457.

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}.