Given numbers are 340,302,457,268

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

The LCM of 340,302,457,268 is 1571979460.

Find LCM of 340,302,457,268 with Prime Factorization

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

2 x 2 x 85 x 151 x 457 x 67 = 1571979460

Therefore, the lowest common multiple of 340,302,457,268 is 1571979460.

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.

340 x 302 x 457 x 268 = 12575835680

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

302 : 1, 2, 151, 302

457 : 1, 457

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,302,457,268, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

302:2x 151

457:457

268:2x 2x 67

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 2 = 8

Therefore, the value for common factors is 8.

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 = 12575835680/(1x8)

LCM = 12575835680/8

LCM = 1571979460

Thus, we can understand that the LCM of 340,302,457,268 is 1571979460.

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

• LCM of 256, 382, 382, 240
• LCM of 980, 156, 948, 316
• LCM of 119, 177, 359, 350
• LCM of 962, 887, 424, 139
• LCM of 203, 436, 707, 458

1. What is the LCM of 340, 302, 457, 268?

Answer: LCM of 340, 302, 457, 268 is 1571979460.

2. How to calculate the LCM of 340, 302, 457, 268?

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 340, 302, 457, 268.

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}.