Given numbers are 546,838,464,409,258

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

The LCM of 546,838,464,409,258 is 933440014416.

Find LCM of 546,838,464,409,258 with Prime Factorization

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

2 x 3 x 91 x 419 x 232 x 409 x 43 = 933440014416

Therefore, the lowest common multiple of 546,838,464,409,258 is 933440014416.

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 838 x 464 x 409 x 258 = 22402560345984

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

838 : 1, 2, 419, 838

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

409 : 1, 409

258 : 1, 2, 3, 6, 43, 86, 129, 258

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,838,464,409,258, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

838:2x 419

464:2x 2x 2x 2x 29

409:409

258:2x 3x 43

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 3 = 24

Therefore, the value for common factors is 24.

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 = 22402560345984/(1x24)

LCM = 22402560345984/24

LCM = 933440014416

Thus, we can understand that the LCM of 546,838,464,409,258 is 933440014416.

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

• LCM of 402, 516, 200, 214, 340
• LCM of 953, 543, 232, 650, 260
• LCM of 815, 792, 946, 639, 249
• LCM of 517, 598, 743, 352, 560
• LCM of 464, 645, 594, 706, 317

1. What is the LCM of 546, 838, 464, 409, 258?

Answer: LCM of 546, 838, 464, 409, 258 is 933440014416.

2. How to calculate the LCM of 546, 838, 464, 409, 258?

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, 838, 464, 409, 258.

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}.