Given numbers are 745,596,142,336

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

The LCM of 745,596,142,336 is 17772720.

Find LCM of 745,596,142,336 with Prime Factorization

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

2 x 2 x 149 x 5 x 1 x 71 x 84 = 17772720

Therefore, the lowest common multiple of 745,596,142,336 is 17772720.

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.

745 x 596 x 142 x 336 = 21185082240

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.

745 : 1, 5, 149, 745

596 : 1, 2, 4, 149, 298, 596

142 : 1, 2, 71, 142

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,596,142,336, is 1.

Now, the common factors can be found like this.

745:5x 149

596:2x 2x 149

142:2x 71

336:2x 2x 2x 2x 3x 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 2x 149 = 1192

Therefore, the value for common factors is 1192.

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 = 21185082240/(1x1192)

LCM = 21185082240/1192

LCM = 17772720

Thus, we can understand that the LCM of 745,596,142,336 is 17772720.

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

• LCM of 741, 733, 656, 457
• LCM of 567, 148, 555, 125
• LCM of 425, 589, 797, 887
• LCM of 833, 188, 352, 652
• LCM of 610, 114, 792, 258

1. What is the LCM of 745, 596, 142, 336?

Answer: LCM of 745, 596, 142, 336 is 17772720.

2. How to calculate the LCM of 745, 596, 142, 336?

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 745, 596, 142, 336.

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}.