Given numbers are 258,437,346,420

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

The LCM of 258,437,346,420 is 1365354060.

Find LCM of 258,437,346,420 with Prime Factorization

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

2 x 3 x 43 x 437 x 173 x 70 = 1365354060

Therefore, the lowest common multiple of 258,437,346,420 is 1365354060.

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.

258 x 437 x 346 x 420 = 16384248720

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.

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

437 : 1, 19, 23, 437

346 : 1, 2, 173, 346

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,437,346,420, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

437:19x 23

346:2x 173

420:2x 2x 3x 5x 7

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 3 = 12

Therefore, the value for common factors is 12.

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 = 16384248720/(1x12)

LCM = 16384248720/12

LCM = 1365354060

Thus, we can understand that the LCM of 258,437,346,420 is 1365354060.

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

• LCM of 318, 956, 307, 211
• LCM of 972, 892, 457, 843
• LCM of 815, 548, 229, 902
• LCM of 994, 408, 472, 734
• LCM of 676, 677, 785, 147

1. What is the LCM of 258, 437, 346, 420?

Answer: LCM of 258, 437, 346, 420 is 1365354060.

2. How to calculate the LCM of 258, 437, 346, 420?

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 258, 437, 346, 420.

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}.