Given numbers are 274,268,742,411

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

The LCM of 274,268,742,411 is 40864908.

Find LCM of 274,268,742,411 with Prime Factorization

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

2 x 137 x 1 x 134 x 371 x 3 = 40864908

Therefore, the lowest common multiple of 274,268,742,411 is 40864908.

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.

274 x 268 x 742 x 411 = 22393969584

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.

274 : 1, 2, 137, 274

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

742 : 1, 2, 7, 14, 53, 106, 371, 742

411 : 1, 3, 137, 411

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,268,742,411, is 1.

Now, the common factors can be found like this.

274:2x 137

268:2x 2x 67

742:2x 7x 53

411:3x 137

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 137 = 548

Therefore, the value for common factors is 548.

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 = 22393969584/(1x548)

LCM = 22393969584/548

LCM = 40864908

Thus, we can understand that the LCM of 274,268,742,411 is 40864908.

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

• LCM of 843, 466, 706, 307
• LCM of 525, 309, 822, 417
• LCM of 381, 345, 206, 473
• LCM of 827, 452, 236, 920
• LCM of 892, 563, 296, 502

1. What is the LCM of 274, 268, 742, 411?

Answer: LCM of 274, 268, 742, 411 is 40864908.

2. How to calculate the LCM of 274, 268, 742, 411?

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 274, 268, 742, 411.

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}.