Given numbers are 738,137,585,746,936

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

The LCM of 738,137,585,746,936 is 9805259880.

Find LCM of 738,137,585,746,936 with Prime Factorization

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

2 x 3 x 3 x 13 x 41 x 137 x 5 x 373 x 4 = 9805259880

Therefore, the lowest common multiple of 738,137,585,746,936 is 9805259880.

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 137 x 585 x 746 x 936 = 41299754614560

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

137 : 1, 137

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

746 : 1, 2, 373, 746

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,137,585,746,936, is 1.

Now, the common factors can be found like this.

738:2x 3x 3x 41

137:137

585:3x 3x 5x 13

746:2x 373

936:2x 2x 2x 3x 3x 13

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 3x 3x 3x 13 = 4212

Therefore, the value for common factors is 4212.

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 = 41299754614560/(1x4212)

LCM = 41299754614560/4212

LCM = 9805259880

Thus, we can understand that the LCM of 738,137,585,746,936 is 9805259880.

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

• LCM of 204, 784, 535, 533, 588
• LCM of 984, 851, 227, 434, 347
• LCM of 431, 906, 296, 179, 250
• LCM of 181, 234, 606, 169, 771
• LCM of 726, 843, 957, 487, 356

1. What is the LCM of 738, 137, 585, 746, 936?

Answer: LCM of 738, 137, 585, 746, 936 is 9805259880.

2. How to calculate the LCM of 738, 137, 585, 746, 936?

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, 137, 585, 746, 936.

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}.