Given numbers are 936,192,252,985,643

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

The LCM of 936,192,252,985,643 is 33197935680.

Find LCM of 936,192,252,985,643 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 8 x 7 x 985 x 643 = 33197935680

Therefore, the lowest common multiple of 936,192,252,985,643 is 33197935680.

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.

936 x 192 x 252 x 985 x 643 = 28683016427520

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.

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

985 : 1, 5, 197, 985

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,192,252,985,643, is 1.

Now, the common factors can be found like this.

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

192:2x 2x 2x 2x 2x 2x 3

252:2x 2x 3x 3x 7

985:5x 197

643:643

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 = 28683016427520/(1x864)

LCM = 28683016427520/864

LCM = 33197935680

Thus, we can understand that the LCM of 936,192,252,985,643 is 33197935680.

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

• LCM of 860, 553, 671, 338, 103
• LCM of 897, 155, 971, 928, 497
• LCM of 922, 672, 860, 615, 992
• LCM of 288, 437, 138, 373, 844
• LCM of 174, 159, 958, 796, 130

1. What is the LCM of 936, 192, 252, 985, 643?

Answer: LCM of 936, 192, 252, 985, 643 is 33197935680.

2. How to calculate the LCM of 936, 192, 252, 985, 643?

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 936, 192, 252, 985, 643.

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}.