Given numbers are 339,546,624,258

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

The LCM of 339,546,624,258 is 21224112.

Find LCM of 339,546,624,258 with Prime Factorization

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

2 x 3 x 13 x 113 x 7 x 8 x 43 = 21224112

Therefore, the lowest common multiple of 339,546,624,258 is 21224112.

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.

339 x 546 x 624 x 258 = 29798653248

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.

339 : 1, 3, 113, 339

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,546,624,258, is 3.

Now, the common factors can be found like this.

339:3x 113

546:2x 3x 7x 13

624:2x 2x 2x 2x 3x 13

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 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 = 29798653248/(3x468)

LCM = 29798653248/1404

LCM = 21224112

Thus, we can understand that the LCM of 339,546,624,258 is 21224112.

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

• LCM of 580, 650, 210, 377
• LCM of 303, 924, 284, 116
• LCM of 641, 613, 680, 836
• LCM of 222, 542, 170, 478
• LCM of 195, 996, 376, 748

1. What is the LCM of 339, 546, 624, 258?

Answer: LCM of 339, 546, 624, 258 is 21224112.

2. How to calculate the LCM of 339, 546, 624, 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 339, 546, 624, 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}.