Given numbers are 972,477,782,990

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

The LCM of 972,477,782,990 is 1107851580.

Find LCM of 972,477,782,990 with Prime Factorization

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

2 x 3 x 3 x 54 x 53 x 391 x 55 = 1107851580

Therefore, the lowest common multiple of 972,477,782,990 is 1107851580.

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 477 x 782 x 990 = 358943911920

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

477 : 1, 3, 9, 53, 159, 477

782 : 1, 2, 17, 23, 34, 46, 391, 782

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,477,782,990, is 1.

Now, the common factors can be found like this.

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

477:3x 3x 53

782:2x 17x 23

990:2x 3x 3x 5x 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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 358943911920/(1x324)

LCM = 358943911920/324

LCM = 1107851580

Thus, we can understand that the LCM of 972,477,782,990 is 1107851580.

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

• LCM of 563, 895, 644, 222
• LCM of 341, 951, 353, 569
• LCM of 116, 926, 654, 132
• LCM of 429, 780, 663, 212
• LCM of 494, 382, 213, 189

1. What is the LCM of 972, 477, 782, 990?

Answer: LCM of 972, 477, 782, 990 is 1107851580.

2. How to calculate the LCM of 972, 477, 782, 990?

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, 477, 782, 990.

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}.