Given numbers are 473,936,828,144

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

The LCM of 473,936,828,144 is 20365488.

Find LCM of 473,936,828,144 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 473 x 13 x 23 x 2 = 20365488

Therefore, the lowest common multiple of 473,936,828,144 is 20365488.

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.

473 x 936 x 828 x 144 = 52787344896

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.

473 : 1, 11, 43, 473

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,936,828,144, is 1.

Now, the common factors can be found like this.

473:11x 43

936:2x 2x 2x 3x 3x 13

828:2x 2x 3x 3x 23

144:2x 2x 2x 2x 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 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 52787344896/(1x2592)

LCM = 52787344896/2592

LCM = 20365488

Thus, we can understand that the LCM of 473,936,828,144 is 20365488.

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

• LCM of 964, 942, 922, 745
• LCM of 708, 471, 830, 400
• LCM of 703, 298, 756, 371
• LCM of 692, 920, 321, 191
• LCM of 110, 426, 554, 561

1. What is the LCM of 473, 936, 828, 144?

Answer: LCM of 473, 936, 828, 144 is 20365488.

2. How to calculate the LCM of 473, 936, 828, 144?

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 473, 936, 828, 144.

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}.