Given numbers are 969,283,936,972

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

The LCM of 969,283,936,972 is 2310088248.

Find LCM of 969,283,936,972 with Prime Factorization

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

2 x 2 x 3 x 3 x 323 x 283 x 26 x 27 = 2310088248

Therefore, the lowest common multiple of 969,283,936,972 is 2310088248.

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.

969 x 283 x 936 x 972 = 249489530784

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

283 : 1, 283

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,283,936,972, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

283:283

936:2x 2x 2x 3x 3x 13

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

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 3 = 108

Therefore, the value for common factors is 108.

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 = 249489530784/(1x108)

LCM = 249489530784/108

LCM = 2310088248

Thus, we can understand that the LCM of 969,283,936,972 is 2310088248.

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

• LCM of 188, 664, 494, 921
• LCM of 412, 658, 558, 981
• LCM of 508, 388, 505, 335
• LCM of 109, 984, 746, 447
• LCM of 875, 641, 680, 555

1. What is the LCM of 969, 283, 936, 972?

Answer: LCM of 969, 283, 936, 972 is 2310088248.

2. How to calculate the LCM of 969, 283, 936, 972?

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 969, 283, 936, 972.

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}.