Given numbers are 478,921,659,336,738

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

The LCM of 478,921,659,336,738 is 1998324807696.

Find LCM of 478,921,659,336,738 with Prime Factorization

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

2 x 3 x 239 x 307 x 659 x 56 x 123 = 1998324807696

Therefore, the lowest common multiple of 478,921,659,336,738 is 1998324807696.

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.

478 x 921 x 659 x 336 x 738 = 71939693077056

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.

478 : 1, 2, 239, 478

921 : 1, 3, 307, 921

659 : 1, 659

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,921,659,336,738, is 1.

Now, the common factors can be found like this.

478:2x 239

921:3x 307

659:659

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

738:2x 3x 3x 41

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 3 = 36

Therefore, the value for common factors is 36.

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 = 71939693077056/(1x36)

LCM = 71939693077056/36

LCM = 1998324807696

Thus, we can understand that the LCM of 478,921,659,336,738 is 1998324807696.

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

• LCM of 863, 900, 749, 745, 871
• LCM of 460, 677, 582, 149, 605
• LCM of 499, 220, 601, 410, 186
• LCM of 527, 650, 753, 222, 971
• LCM of 883, 772, 628, 769, 917

1. What is the LCM of 478, 921, 659, 336, 738?

Answer: LCM of 478, 921, 659, 336, 738 is 1998324807696.

2. How to calculate the LCM of 478, 921, 659, 336, 738?

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 478, 921, 659, 336, 738.

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}.