Given numbers are 992,135,224,470

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

The LCM of 992,135,224,470 is 44059680.

Find LCM of 992,135,224,470 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 31 x 27 x 7 x 47 = 44059680

Therefore, the lowest common multiple of 992,135,224,470 is 44059680.

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.

992 x 135 x 224 x 470 = 14099097600

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.

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

135 : 1, 3, 5, 9, 15, 27, 45, 135

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

470 : 1, 2, 5, 10, 47, 94, 235, 470

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 992,135,224,470, is 1.

Now, the common factors can be found like this.

992:2x 2x 2x 2x 2x 31

135:3x 3x 3x 5

224:2x 2x 2x 2x 2x 7

470:2x 5x 47

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 5 = 320

Therefore, the value for common factors is 320.

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 = 14099097600/(1x320)

LCM = 14099097600/320

LCM = 44059680

Thus, we can understand that the LCM of 992,135,224,470 is 44059680.

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

• LCM of 999, 210, 917, 900
• LCM of 810, 502, 651, 613
• LCM of 487, 609, 798, 713
• LCM of 362, 986, 590, 174
• LCM of 164, 681, 793, 836

1. What is the LCM of 992, 135, 224, 470?

Answer: LCM of 992, 135, 224, 470 is 44059680.

2. How to calculate the LCM of 992, 135, 224, 470?

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 992, 135, 224, 470.

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}.