Given numbers are 734,338,305,513

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

The LCM of 734,338,305,513 is 19408857390.

Find LCM of 734,338,305,513 with Prime Factorization

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

2 x 367 x 169 x 305 x 513 = 19408857390

Therefore, the lowest common multiple of 734,338,305,513 is 19408857390.

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.

734 x 338 x 305 x 513 = 38817714780

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.

734 : 1, 2, 367, 734

338 : 1, 2, 13, 26, 169, 338

305 : 1, 5, 61, 305

513 : 1, 3, 9, 19, 27, 57, 171, 513

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,338,305,513, is 1.

Now, the common factors can be found like this.

734:2x 367

338:2x 13x 13

305:5x 61

513:3x 3x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 38817714780/(1x2)

LCM = 38817714780/2

LCM = 19408857390

Thus, we can understand that the LCM of 734,338,305,513 is 19408857390.

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

• LCM of 382, 357, 107, 839
• LCM of 832, 173, 105, 745
• LCM of 724, 919, 464, 737
• LCM of 231, 862, 214, 607
• LCM of 491, 534, 268, 490

1. What is the LCM of 734, 338, 305, 513?

Answer: LCM of 734, 338, 305, 513 is 19408857390.

2. How to calculate the LCM of 734, 338, 305, 513?

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 734, 338, 305, 513.

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}.