Given numbers are 757,268,402,457

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

The LCM of 757,268,402,457 is 278142996.

Find LCM of 757,268,402,457 with Prime Factorization

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

2 x 67 x 757 x 2 x 3 x 457 = 278142996

Therefore, the lowest common multiple of 757,268,402,457 is 278142996.

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.

757 x 268 x 402 x 457 = 37271161464

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.

757 : 1, 757

268 : 1, 2, 4, 67, 134, 268

402 : 1, 2, 3, 6, 67, 134, 201, 402

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,268,402,457, is 1.

Now, the common factors can be found like this.

757:757

268:2x 2x 67

402:2x 3x 67

457:457

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 37271161464/(1x134)

LCM = 37271161464/134

LCM = 278142996

Thus, we can understand that the LCM of 757,268,402,457 is 278142996.

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

• LCM of 852, 166, 489, 949
• LCM of 986, 157, 496, 605
• LCM of 501, 732, 333, 741
• LCM of 418, 419, 330, 512
• LCM of 992, 582, 731, 860

1. What is the LCM of 757, 268, 402, 457?

Answer: LCM of 757, 268, 402, 457 is 278142996.

2. How to calculate the LCM of 757, 268, 402, 457?

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 757, 268, 402, 457.

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}.