Given numbers are 924,536,906,996,678

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

The LCM of 924,536,906,996,678 is 175351809864.

Find LCM of 924,536,906,996,678 with Prime Factorization

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

2 x 2 x 3 x 77 x 134 x 151 x 83 x 113 = 175351809864

Therefore, the lowest common multiple of 924,536,906,996,678 is 175351809864.

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.

924 x 536 x 906 x 996 x 678 = 303007927444992

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

906 : 1, 2, 3, 6, 151, 302, 453, 906

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

678 : 1, 2, 3, 6, 113, 226, 339, 678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,536,906,996,678, is 2.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

536:2x 2x 2x 67

906:2x 3x 151

996:2x 2x 3x 83

678:2x 3x 113

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 303007927444992/(2x864)

LCM = 303007927444992/1728

LCM = 175351809864

Thus, we can understand that the LCM of 924,536,906,996,678 is 175351809864.

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

• LCM of 981, 169, 930, 537, 670
• LCM of 985, 254, 755, 640, 303
• LCM of 587, 551, 496, 812, 598
• LCM of 884, 698, 962, 492, 412
• LCM of 502, 823, 992, 952, 478

1. What is the LCM of 924, 536, 906, 996, 678?

Answer: LCM of 924, 536, 906, 996, 678 is 175351809864.

2. How to calculate the LCM of 924, 536, 906, 996, 678?

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 924, 536, 906, 996, 678.

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}.