Given numbers are 528,980,144,828

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

The LCM of 528,980,144,828 is 8925840.

Find LCM of 528,980,144,828 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 11 x 245 x 1 x 23 = 8925840

Therefore, the lowest common multiple of 528,980,144,828 is 8925840.

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 980 x 144 x 828 = 61695406080

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

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,980,144,828, is 4.

Now, the common factors can be found like this.

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

980:2x 2x 5x 7x 7

144:2x 2x 2x 2x 3x 3

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 2x 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 61695406080/(4x1728)

LCM = 61695406080/6912

LCM = 8925840

Thus, we can understand that the LCM of 528,980,144,828 is 8925840.

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

• LCM of 291, 842, 122, 860
• LCM of 472, 799, 540, 160
• LCM of 707, 569, 945, 543
• LCM of 664, 309, 735, 330
• LCM of 300, 521, 546, 533

1. What is the LCM of 528, 980, 144, 828?

Answer: LCM of 528, 980, 144, 828 is 8925840.

2. How to calculate the LCM of 528, 980, 144, 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 528, 980, 144, 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}.