Given numbers are 768,536,546,936

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

The LCM of 768,536,546,936 is 14047488.

Find LCM of 768,536,546,936 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 32 x 67 x 7 x 3 = 14047488

Therefore, the lowest common multiple of 768,536,546,936 is 14047488.

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.

768 x 536 x 546 x 936 = 210375180288

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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 768,536,546,936, is 2.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

536:2x 2x 2x 67

546:2x 3x 7x 13

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 3x 3x 13 = 7488

Therefore, the value for common factors is 7488.

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 = 210375180288/(2x7488)

LCM = 210375180288/14976

LCM = 14047488

Thus, we can understand that the LCM of 768,536,546,936 is 14047488.

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

• LCM of 964, 456, 503, 510
• LCM of 426, 990, 757, 208
• LCM of 398, 815, 868, 643
• LCM of 290, 150, 303, 155
• LCM of 189, 692, 300, 569

1. What is the LCM of 768, 536, 546, 936?

Answer: LCM of 768, 536, 546, 936 is 14047488.

2. How to calculate the LCM of 768, 536, 546, 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 768, 536, 546, 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}.