Given numbers are 674,948,464,936

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

The LCM of 674,948,464,936 is 1445309424.

Find LCM of 674,948,464,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 337 x 79 x 58 x 39 = 1445309424

Therefore, the lowest common multiple of 674,948,464,936 is 1445309424.

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.

674 x 948 x 464 x 936 = 277499409408

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.

674 : 1, 2, 337, 674

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 674,948,464,936, is 2.

Now, the common factors can be found like this.

674:2x 337

948:2x 2x 3x 79

464:2x 2x 2x 2x 29

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 3 = 96

Therefore, the value for common factors is 96.

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 = 277499409408/(2x96)

LCM = 277499409408/192

LCM = 1445309424

Thus, we can understand that the LCM of 674,948,464,936 is 1445309424.

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

• LCM of 148, 772, 830, 913
• LCM of 284, 123, 963, 183
• LCM of 279, 378, 898, 578
• LCM of 583, 314, 171, 170
• LCM of 788, 485, 234, 858

1. What is the LCM of 674, 948, 464, 936?

Answer: LCM of 674, 948, 464, 936 is 1445309424.

2. How to calculate the LCM of 674, 948, 464, 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 674, 948, 464, 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}.