Given numbers are 112,414,746,440,350

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

The LCM of 112,414,746,440,350 is 2378098800.

Find LCM of 112,414,746,440,350 with Prime Factorization

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

2 x 2 x 2 x 5 x 7 x 2 x 207 x 373 x 11 x 5 = 2378098800

Therefore, the lowest common multiple of 112,414,746,440,350 is 2378098800.

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.

112 x 414 x 746 x 440 x 350 = 5326941312000

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

746 : 1, 2, 373, 746

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,414,746,440,350, is 2.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

414:2x 3x 3x 23

746:2x 373

440:2x 2x 2x 5x 11

350:2x 5x 5x 7

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 5x 7 = 1120

Therefore, the value for common factors is 1120.

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 = 5326941312000/(2x1120)

LCM = 5326941312000/2240

LCM = 2378098800

Thus, we can understand that the LCM of 112,414,746,440,350 is 2378098800.

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

• LCM of 102, 883, 167, 221, 538
• LCM of 461, 587, 696, 720, 762
• LCM of 324, 536, 871, 398, 123
• LCM of 867, 969, 662, 460, 533
• LCM of 641, 404, 123, 672, 895

1. What is the LCM of 112, 414, 746, 440, 350?

Answer: LCM of 112, 414, 746, 440, 350 is 2378098800.

2. How to calculate the LCM of 112, 414, 746, 440, 350?

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 112, 414, 746, 440, 350.

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}.