Given numbers are 738,336,461,766,394

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

The LCM of 738,336,461,766,394 is 1437508145808.

Find LCM of 738,336,461,766,394 with Prime Factorization

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

2 x 3 x 123 x 56 x 461 x 383 x 197 = 1437508145808

Therefore, the lowest common multiple of 738,336,461,766,394 is 1437508145808.

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 336 x 461 x 766 x 394 = 34500195499392

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

461 : 1, 461

766 : 1, 2, 383, 766

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,336,461,766,394, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

336:2x 2x 2x 2x 3x 7

461:461

766:2x 383

394:2x 197

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 = 34500195499392/(1x24)

LCM = 34500195499392/24

LCM = 1437508145808

Thus, we can understand that the LCM of 738,336,461,766,394 is 1437508145808.

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

• LCM of 719, 330, 773, 873, 153
• LCM of 245, 360, 799, 329, 449
• LCM of 836, 795, 667, 234, 734
• LCM of 131, 303, 304, 602, 776
• LCM of 963, 917, 563, 512, 110

1. What is the LCM of 738, 336, 461, 766, 394?

Answer: LCM of 738, 336, 461, 766, 394 is 1437508145808.

2. How to calculate the LCM of 738, 336, 461, 766, 394?

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, 336, 461, 766, 394.

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}.