Given numbers are 972,720,992,460

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

The LCM of 972,720,992,460 is 27721440.

Find LCM of 972,720,992,460 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 5 x 27 x 1 x 62 x 23 = 27721440

Therefore, the lowest common multiple of 972,720,992,460 is 27721440.

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 720 x 992 x 460 = 319350988800

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,720,992,460, is 4.

Now, the common factors can be found like this.

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

720:2x 2x 2x 2x 3x 3x 5

992:2x 2x 2x 2x 2x 31

460:2x 2x 5x 23

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 5 = 2880

Therefore, the value for common factors is 2880.

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 = 319350988800/(4x2880)

LCM = 319350988800/11520

LCM = 27721440

Thus, we can understand that the LCM of 972,720,992,460 is 27721440.

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

• LCM of 894, 610, 238, 292
• LCM of 146, 309, 718, 263
• LCM of 782, 217, 448, 706
• LCM of 254, 461, 222, 846
• LCM of 336, 997, 863, 805

1. What is the LCM of 972, 720, 992, 460?

Answer: LCM of 972, 720, 992, 460 is 27721440.

2. How to calculate the LCM of 972, 720, 992, 460?

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, 720, 992, 460.

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}.