Given numbers are 823,728,194,504,154

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

The LCM of 823,728,194,504,154 is 5753579832.

Find LCM of 823,728,194,504,154 with Prime Factorization

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

2 x 2 x 2 x 7 x 823 x 13 x 97 x 9 x 11 = 5753579832

Therefore, the lowest common multiple of 823,728,194,504,154 is 5753579832.

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.

823 x 728 x 194 x 504 x 154 = 9021613176576

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.

823 : 1, 823

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

194 : 1, 2, 97, 194

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

154 : 1, 2, 7, 11, 14, 22, 77, 154

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,728,194,504,154, is 1.

Now, the common factors can be found like this.

823:823

728:2x 2x 2x 7x 13

194:2x 97

504:2x 2x 2x 3x 3x 7

154:2x 7x 11

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 7x 7 = 1568

Therefore, the value for common factors is 1568.

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 = 9021613176576/(1x1568)

LCM = 9021613176576/1568

LCM = 5753579832

Thus, we can understand that the LCM of 823,728,194,504,154 is 5753579832.

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

• LCM of 994, 217, 726, 841, 113
• LCM of 189, 719, 379, 324, 648
• LCM of 939, 479, 347, 580, 255
• LCM of 340, 972, 776, 327, 598
• LCM of 880, 156, 412, 160, 767

1. What is the LCM of 823, 728, 194, 504, 154?

Answer: LCM of 823, 728, 194, 504, 154 is 5753579832.

2. How to calculate the LCM of 823, 728, 194, 504, 154?

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 823, 728, 194, 504, 154.

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}.