Given numbers are 974,528,296,936

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

The LCM of 974,528,296,936 is 371047248.

Find LCM of 974,528,296,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 487 x 22 x 37 x 39 = 371047248

Therefore, the lowest common multiple of 974,528,296,936 is 371047248.

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.

974 x 528 x 296 x 936 = 142482143232

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.

974 : 1, 2, 487, 974

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

296 : 1, 2, 4, 8, 37, 74, 148, 296

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 974,528,296,936, is 2.

Now, the common factors can be found like this.

974:2x 487

528:2x 2x 2x 2x 3x 11

296:2x 2x 2x 37

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 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 142482143232/(2x192)

LCM = 142482143232/384

LCM = 371047248

Thus, we can understand that the LCM of 974,528,296,936 is 371047248.

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

• LCM of 334, 434, 465, 301
• LCM of 317, 915, 657, 299
• LCM of 332, 147, 216, 321
• LCM of 416, 754, 518, 250
• LCM of 614, 255, 544, 615

1. What is the LCM of 974, 528, 296, 936?

Answer: LCM of 974, 528, 296, 936 is 371047248.

2. How to calculate the LCM of 974, 528, 296, 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 974, 528, 296, 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}.