Given numbers are 546,549,552,355,442

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

The LCM of 546,549,552,355,442 is 55476471960.

Find LCM of 546,549,552,355,442 with Prime Factorization

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

2 x 3 x 13 x 7 x 183 x 92 x 355 x 17 = 55476471960

Therefore, the lowest common multiple of 546,549,552,355,442 is 55476471960.

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.

546 x 549 x 552 x 355 x 442 = 25962988877280

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

549 : 1, 3, 9, 61, 183, 549

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

355 : 1, 5, 71, 355

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,549,552,355,442, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

549:3x 3x 61

552:2x 2x 2x 3x 23

355:5x 71

442:2x 13x 17

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 25962988877280/(1x468)

LCM = 25962988877280/468

LCM = 55476471960

Thus, we can understand that the LCM of 546,549,552,355,442 is 55476471960.

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

• LCM of 785, 754, 206, 539, 933
• LCM of 665, 346, 172, 200, 334
• LCM of 461, 678, 627, 844, 525
• LCM of 934, 191, 612, 524, 685
• LCM of 206, 117, 324, 498, 128

1. What is the LCM of 546, 549, 552, 355, 442?

Answer: LCM of 546, 549, 552, 355, 442 is 55476471960.

2. How to calculate the LCM of 546, 549, 552, 355, 442?

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 546, 549, 552, 355, 442.

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}.