Given numbers are 764,506,678

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

The LCM of 764,506,678 is 65525988.

Find LCM of 764,506,678 with Prime Factorization

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

2 x 382 x 253 x 339 = 65525988

Therefore, the lowest common multiple of 764,506,678 is 65525988.

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.

764 x 506 x 678 = 262103952

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.

764 : 1, 2, 4, 191, 382, 764

506 : 1, 2, 11, 22, 23, 46, 253, 506

678 : 1, 2, 3, 6, 113, 226, 339, 678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,506,678, is 2.

Now, the common factors can be found like this.

764:2x 2x 191

506:2x 11x 23

678:2x 3x 113

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 = 262103952/(2x2)

LCM = 262103952/4

LCM = 65525988

Thus, we can understand that the LCM of 764,506,678 is 65525988.

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

• LCM of 199, 381, 723
• LCM of 789, 165, 538
• LCM of 272, 749, 487
• LCM of 116, 897, 975
• LCM of 217, 350, 557

1. What is the LCM of 764, 506, 678?

Answer: LCM of 764, 506, 678 is 65525988.

2. How to calculate the LCM of 764, 506, 678?

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 764, 506, 678.

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}.