Given numbers are 309,596,972,936

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

The LCM of 309,596,972,936 is 387849384.

Find LCM of 309,596,972,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 103 x 149 x 27 x 26 = 387849384

Therefore, the lowest common multiple of 309,596,972,936 is 387849384.

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.

309 x 596 x 972 x 936 = 167550933888

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.

309 : 1, 3, 103, 309

596 : 1, 2, 4, 149, 298, 596

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,596,972,936, is 1.

Now, the common factors can be found like this.

309:3x 103

596:2x 2x 149

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

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

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 167550933888/(1x432)

LCM = 167550933888/432

LCM = 387849384

Thus, we can understand that the LCM of 309,596,972,936 is 387849384.

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

• LCM of 128, 392, 575, 103
• LCM of 437, 621, 121, 106
• LCM of 890, 945, 249, 240
• LCM of 995, 289, 411, 383
• LCM of 752, 253, 704, 779

1. What is the LCM of 309, 596, 972, 936?

Answer: LCM of 309, 596, 972, 936 is 387849384.

2. How to calculate the LCM of 309, 596, 972, 936?

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 309, 596, 972, 936.

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}.