Given numbers are 742,536,992,460,936

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

The LCM of 742,536,992,460,936 is 331775327520.

Find LCM of 742,536,992,460,936 with Prime Factorization

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

2 x 2 x 2 x 371 x 67 x 124 x 115 x 117 = 331775327520

Therefore, the lowest common multiple of 742,536,992,460,936 is 331775327520.

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.

742 x 536 x 992 x 460 x 936 = 169868967690240

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.

742 : 1, 2, 7, 14, 53, 106, 371, 742

536 : 1, 2, 4, 8, 67, 134, 268, 536

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,536,992,460,936, is 2.

Now, the common factors can be found like this.

742:2x 7x 53

536:2x 2x 2x 67

992:2x 2x 2x 2x 2x 31

460:2x 2x 5x 23

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 2x 2x 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 169868967690240/(2x256)

LCM = 169868967690240/512

LCM = 331775327520

Thus, we can understand that the LCM of 742,536,992,460,936 is 331775327520.

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

• LCM of 903, 439, 446, 876, 787
• LCM of 325, 743, 778, 200, 810
• LCM of 835, 705, 342, 806, 994
• LCM of 955, 835, 395, 613, 633
• LCM of 433, 368, 890, 964, 763

1. What is the LCM of 742, 536, 992, 460, 936?

Answer: LCM of 742, 536, 992, 460, 936 is 331775327520.

2. How to calculate the LCM of 742, 536, 992, 460, 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 742, 536, 992, 460, 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}.