Given numbers are 738,676,461,258,337

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

The LCM of 738,676,461,258,337 is 1666373474844.

Find LCM of 738,676,461,258,337 with Prime Factorization

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

2 x 3 x 123 x 338 x 461 x 43 x 337 = 1666373474844

Therefore, the lowest common multiple of 738,676,461,258,337 is 1666373474844.

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.

738 x 676 x 461 x 258 x 337 = 19996481698128

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.

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

461 : 1, 461

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

337 : 1, 337

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,676,461,258,337, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

676:2x 2x 13x 13

461:461

258:2x 3x 43

337:337

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 = 19996481698128/(1x12)

LCM = 19996481698128/12

LCM = 1666373474844

Thus, we can understand that the LCM of 738,676,461,258,337 is 1666373474844.

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

• LCM of 486, 406, 333, 301, 272
• LCM of 727, 904, 496, 926, 493
• LCM of 144, 582, 543, 838, 710
• LCM of 172, 149, 705, 318, 543
• LCM of 665, 987, 997, 986, 593

1. What is the LCM of 738, 676, 461, 258, 337?

Answer: LCM of 738, 676, 461, 258, 337 is 1666373474844.

2. How to calculate the LCM of 738, 676, 461, 258, 337?

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 738, 676, 461, 258, 337.

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}.