Given numbers are 294,496,674

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

The LCM of 294,496,674 is 24571344.

Find LCM of 294,496,674 with Prime Factorization

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

2 x 147 x 248 x 337 = 24571344

Therefore, the lowest common multiple of 294,496,674 is 24571344.

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.

294 x 496 x 674 = 98285376

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.

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

674 : 1, 2, 337, 674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 294,496,674, is 2.

Now, the common factors can be found like this.

294:2x 3x 7x 7

496:2x 2x 2x 2x 31

674:2x 337

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 98285376/(2x2)

LCM = 98285376/4

LCM = 24571344

Thus, we can understand that the LCM of 294,496,674 is 24571344.

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

• LCM of 711, 651, 786
• LCM of 614, 137, 112
• LCM of 737, 904, 716
• LCM of 536, 339, 523
• LCM of 736, 665, 888

1. What is the LCM of 294, 496, 674?

Answer: LCM of 294, 496, 674 is 24571344.

2. How to calculate the LCM of 294, 496, 674?

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 294, 496, 674.

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}.