Given numbers are 536,920,368,190,935

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

The LCM of 536,920,368,190,935 is 438013840.

Find LCM of 536,920,368,190,935 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 67 x 1 x 2 x 19 x 187 = 438013840

Therefore, the lowest common multiple of 536,920,368,190,935 is 438013840.

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.

536 x 920 x 368 x 190 x 935 = 32237818624000

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.

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

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

190 : 1, 2, 5, 10, 19, 38, 95, 190

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 536,920,368,190,935, is 1.

Now, the common factors can be found like this.

536:2x 2x 2x 67

920:2x 2x 2x 5x 23

368:2x 2x 2x 2x 23

190:2x 5x 19

935:5x 11x 17

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 5x 5x 23 = 73600

Therefore, the value for common factors is 73600.

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 = 32237818624000/(1x73600)

LCM = 32237818624000/73600

LCM = 438013840

Thus, we can understand that the LCM of 536,920,368,190,935 is 438013840.

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

• LCM of 914, 629, 826, 565, 517
• LCM of 735, 702, 200, 186, 210
• LCM of 916, 998, 734, 536, 739
• LCM of 136, 859, 719, 581, 140
• LCM of 967, 136, 285, 576, 928

1. What is the LCM of 536, 920, 368, 190, 935?

Answer: LCM of 536, 920, 368, 190, 935 is 438013840.

2. How to calculate the LCM of 536, 920, 368, 190, 935?

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 536, 920, 368, 190, 935.

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}.