Given numbers are 973,540,364,966

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

The LCM of 973,540,364,966 is 157100580.

Find LCM of 973,540,364,966 with Prime Factorization

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

2 x 2 x 3 x 7 x 139 x 45 x 13 x 23 = 157100580

Therefore, the lowest common multiple of 973,540,364,966 is 157100580.

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.

973 x 540 x 364 x 966 = 184750282080

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.

973 : 1, 7, 139, 973

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,540,364,966, is 1.

Now, the common factors can be found like this.

973:7x 139

540:2x 2x 3x 3x 3x 5

364:2x 2x 7x 13

966:2x 3x 7x 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 3x 7x 7 = 1176

Therefore, the value for common factors is 1176.

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 = 184750282080/(1x1176)

LCM = 184750282080/1176

LCM = 157100580

Thus, we can understand that the LCM of 973,540,364,966 is 157100580.

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

• LCM of 154, 575, 384, 761
• LCM of 564, 717, 664, 292
• LCM of 102, 906, 720, 241
• LCM of 980, 687, 176, 415
• LCM of 800, 403, 623, 252

1. What is the LCM of 973, 540, 364, 966?

Answer: LCM of 973, 540, 364, 966 is 157100580.

2. How to calculate the LCM of 973, 540, 364, 966?

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 973, 540, 364, 966.

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}.