Given numbers are 764,269,334,382

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

The LCM of 764,269,334,382 is 34321172.

Find LCM of 764,269,334,382 with Prime Factorization

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

2 x 191 x 2 x 269 x 167 x 1 = 34321172

Therefore, the lowest common multiple of 764,269,334,382 is 34321172.

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 269 x 334 x 382 = 26221375408

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

269 : 1, 269

334 : 1, 2, 167, 334

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,269,334,382, is 1.

Now, the common factors can be found like this.

764:2x 2x 191

269:269

334:2x 167

382:2x 191

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 191 = 764

Therefore, the value for common factors is 764.

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 = 26221375408/(1x764)

LCM = 26221375408/764

LCM = 34321172

Thus, we can understand that the LCM of 764,269,334,382 is 34321172.

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

• LCM of 223, 195, 593, 953
• LCM of 590, 739, 120, 457
• LCM of 400, 626, 994, 260
• LCM of 919, 176, 620, 896
• LCM of 125, 686, 871, 523

1. What is the LCM of 764, 269, 334, 382?

Answer: LCM of 764, 269, 334, 382 is 34321172.

2. How to calculate the LCM of 764, 269, 334, 382?

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, 269, 334, 382.

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}.