Given numbers are 342,594,411,360,742

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

The LCM of 342,594,411,360,742 is 11472670440.

Find LCM of 342,594,411,360,742 with Prime Factorization

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

2 x 3 x 3 x 19 x 33 x 137 x 20 x 371 = 11472670440

Therefore, the lowest common multiple of 342,594,411,360,742 is 11472670440.

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.

342 x 594 x 411 x 360 x 742 = 22302871335360

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

411 : 1, 3, 137, 411

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,594,411,360,742, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

594:2x 3x 3x 3x 11

411:3x 137

360:2x 2x 2x 3x 3x 5

742:2x 7x 53

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 2x 3x 3x 3x 3x 3 = 1944

Therefore, the value for common factors is 1944.

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 = 22302871335360/(1x1944)

LCM = 22302871335360/1944

LCM = 11472670440

Thus, we can understand that the LCM of 342,594,411,360,742 is 11472670440.

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

• LCM of 747, 860, 726, 163, 308
• LCM of 253, 777, 614, 141, 100
• LCM of 116, 275, 627, 648, 285
• LCM of 380, 696, 143, 992, 758
• LCM of 352, 117, 619, 884, 379

1. What is the LCM of 342, 594, 411, 360, 742?

Answer: LCM of 342, 594, 411, 360, 742 is 11472670440.

2. How to calculate the LCM of 342, 594, 411, 360, 742?

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 342, 594, 411, 360, 742.

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}.