Given numbers are 918,275,612,737,284

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

The LCM of 918,275,612,737,284 is 2401809300.

Find LCM of 918,275,612,737,284 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 17 x 1 x 25 x 3 x 67 x 71 = 2401809300

Therefore, the lowest common multiple of 918,275,612,737,284 is 2401809300.

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.

918 x 275 x 612 x 737 x 284 = 32337960415200

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.

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

275 : 1, 5, 11, 25, 55, 275

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

737 : 1, 11, 67, 737

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 918,275,612,737,284, is 1.

Now, the common factors can be found like this.

918:2x 3x 3x 3x 17

275:5x 5x 11

612:2x 2x 3x 3x 17

737:11x 67

284:2x 2x 71

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 3x 3x 11x 17 = 13464

Therefore, the value for common factors is 13464.

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 = 32337960415200/(1x13464)

LCM = 32337960415200/13464

LCM = 2401809300

Thus, we can understand that the LCM of 918,275,612,737,284 is 2401809300.

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

• LCM of 543, 385, 819, 454, 105
• LCM of 748, 960, 610, 536, 468
• LCM of 160, 279, 392, 297, 869
• LCM of 806, 188, 709, 359, 175
• LCM of 273, 530, 280, 163, 369

1. What is the LCM of 918, 275, 612, 737, 284?

Answer: LCM of 918, 275, 612, 737, 284 is 2401809300.

2. How to calculate the LCM of 918, 275, 612, 737, 284?

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 918, 275, 612, 737, 284.

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}.