Given numbers are 528,438,444,929,648

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

The LCM of 528,438,444,929,648 is 35771568624.

Find LCM of 528,438,444,929,648 with Prime Factorization

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

2 x 2 x 2 x 3 x 22 x 73 x 37 x 929 x 27 = 35771568624

Therefore, the lowest common multiple of 528,438,444,929,648 is 35771568624.

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 438 x 444 x 929 x 648 = 61813270582272

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

929 : 1, 929

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,438,444,929,648, is 1.

Now, the common factors can be found like this.

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

438:2x 3x 73

444:2x 2x 3x 37

929:929

648:2x 2x 2x 3x 3x 3x 3

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 = 61813270582272/(1x1728)

LCM = 61813270582272/1728

LCM = 35771568624

Thus, we can understand that the LCM of 528,438,444,929,648 is 35771568624.

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

• LCM of 429, 627, 810, 917, 969
• LCM of 986, 775, 713, 668, 960
• LCM of 756, 415, 371, 928, 229
• LCM of 114, 716, 804, 333, 573
• LCM of 729, 637, 786, 293, 781

1. What is the LCM of 528, 438, 444, 929, 648?

Answer: LCM of 528, 438, 444, 929, 648 is 35771568624.

2. How to calculate the LCM of 528, 438, 444, 929, 648?

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, 438, 444, 929, 648.

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}.