Given numbers are 769,298,596

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

The LCM of 769,298,596 is 458324.

Find LCM of 769,298,596 with Prime Factorization

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

2 x 149 x 769 x 1 x 2 = 458324

Therefore, the lowest common multiple of 769,298,596 is 458324.

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.

769 x 298 x 596 = 136580552

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.

769 : 1, 769

298 : 1, 2, 149, 298

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,298,596, is 1.

Now, the common factors can be found like this.

769:769

298:2x 149

596:2x 2x 149

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

2x 149 = 298

Therefore, the value for common factors is 298.

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 = 136580552/(1x298)

LCM = 136580552/298

LCM = 458324

Thus, we can understand that the LCM of 769,298,596 is 458324.

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

• LCM of 735, 416, 701
• LCM of 268, 751, 631
• LCM of 756, 698, 778
• LCM of 500, 175, 139
• LCM of 852, 171, 615

1. What is the LCM of 769, 298, 596?

Answer: LCM of 769, 298, 596 is 458324.

2. How to calculate the LCM of 769, 298, 596?

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 769, 298, 596.

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}.