Given numbers are 966,480,922,279

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

The LCM of 966,480,922,279 is 3313225440.

Find LCM of 966,480,922,279 with Prime Factorization

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

2 x 3 x 161 x 80 x 461 x 93 = 3313225440

Therefore, the lowest common multiple of 966,480,922,279 is 3313225440.

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.

966 x 480 x 922 x 279 = 119276115840

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.

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

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

922 : 1, 2, 461, 922

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,480,922,279, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

480:2x 2x 2x 2x 2x 3x 5

922:2x 461

279:3x 3x 31

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 3 = 36

Therefore, the value for common factors is 36.

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 = 119276115840/(1x36)

LCM = 119276115840/36

LCM = 3313225440

Thus, we can understand that the LCM of 966,480,922,279 is 3313225440.

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

• LCM of 172, 442, 121, 556
• LCM of 695, 441, 594, 263
• LCM of 311, 753, 550, 520
• LCM of 953, 703, 578, 461
• LCM of 712, 667, 992, 418

1. What is the LCM of 966, 480, 922, 279?

Answer: LCM of 966, 480, 922, 279 is 3313225440.

2. How to calculate the LCM of 966, 480, 922, 279?

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 966, 480, 922, 279.

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}.