Given numbers are 972,894,455,174,824

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

The LCM of 972,894,455,174,824 is 393667124760.

Find LCM of 972,894,455,174,824 with Prime Factorization

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

2 x 2 x 3 x 81 x 149 x 455 x 29 x 206 = 393667124760

Therefore, the lowest common multiple of 972,894,455,174,824 is 393667124760.

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.

972 x 894 x 455 x 174 x 824 = 56688065965440

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

894 : 1, 2, 3, 6, 149, 298, 447, 894

455 : 1, 5, 7, 13, 35, 65, 91, 455

174 : 1, 2, 3, 6, 29, 58, 87, 174

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,894,455,174,824, is 1.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

894:2x 3x 149

455:5x 7x 13

174:2x 3x 29

824:2x 2x 2x 103

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 56688065965440/(1x144)

LCM = 56688065965440/144

LCM = 393667124760

Thus, we can understand that the LCM of 972,894,455,174,824 is 393667124760.

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

• LCM of 971, 313, 338, 182, 997
• LCM of 836, 559, 896, 672, 572
• LCM of 800, 687, 588, 554, 236
• LCM of 240, 415, 700, 897, 847
• LCM of 246, 328, 367, 464, 377

1. What is the LCM of 972, 894, 455, 174, 824?

Answer: LCM of 972, 894, 455, 174, 824 is 393667124760.

2. How to calculate the LCM of 972, 894, 455, 174, 824?

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 972, 894, 455, 174, 824.

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}.