Given numbers are 114,504,368,156,740

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

The LCM of 114,504,368,156,740 is 1059392880.

Find LCM of 114,504,368,156,740 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 21 x 46 x 13 x 185 = 1059392880

Therefore, the lowest common multiple of 114,504,368,156,740 is 1059392880.

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.

114 x 504 x 368 x 156 x 740 = 2440841195520

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,504,368,156,740, is 2.

Now, the common factors can be found like this.

114:2x 3x 19

504:2x 2x 2x 3x 3x 7

368:2x 2x 2x 2x 23

156:2x 2x 3x 13

740:2x 2x 5x 37

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 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 2440841195520/(2x1152)

LCM = 2440841195520/2304

LCM = 1059392880

Thus, we can understand that the LCM of 114,504,368,156,740 is 1059392880.

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

• LCM of 590, 485, 872, 796, 459
• LCM of 160, 171, 763, 902, 147
• LCM of 667, 659, 427, 892, 593
• LCM of 146, 389, 171, 690, 871
• LCM of 337, 137, 422, 153, 698

1. What is the LCM of 114, 504, 368, 156, 740?

Answer: LCM of 114, 504, 368, 156, 740 is 1059392880.

2. How to calculate the LCM of 114, 504, 368, 156, 740?

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 114, 504, 368, 156, 740.

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}.