Given numbers are 528,828,946,830

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

The LCM of 528,828,946,830 is 650129040.

Find LCM of 528,828,946,830 with Prime Factorization

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

2 x 2 x 3 x 11 x 4 x 69 x 43 x 415 = 650129040

Therefore, the lowest common multiple of 528,828,946,830 is 650129040.

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 946 x 830 = 343268133120

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

830 : 1, 2, 5, 10, 83, 166, 415, 830

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,828,946,830, is 2.

Now, the common factors can be found like this.

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

828:2x 2x 3x 3x 23

946:2x 11x 43

830:2x 5x 83

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 11 = 264

Therefore, the value for common factors is 264.

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 = 343268133120/(2x264)

LCM = 343268133120/528

LCM = 650129040

Thus, we can understand that the LCM of 528,828,946,830 is 650129040.

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

• LCM of 841, 990, 528, 343
• LCM of 152, 103, 512, 867
• LCM of 429, 500, 106, 602
• LCM of 905, 284, 550, 360
• LCM of 427, 528, 261, 296

1. What is the LCM of 528, 828, 946, 830?

Answer: LCM of 528, 828, 946, 830 is 650129040.

2. How to calculate the LCM of 528, 828, 946, 830?

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, 946, 830.

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}.