Given numbers are 996,176,756,762

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

The LCM of 996,176,756,762 is 350635824.

Find LCM of 996,176,756,762 with Prime Factorization

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

2 x 2 x 3 x 83 x 44 x 63 x 127 = 350635824

Therefore, the lowest common multiple of 996,176,756,762 is 350635824.

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.

996 x 176 x 756 x 762 = 100983117312

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.

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

762 : 1, 2, 3, 6, 127, 254, 381, 762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 996,176,756,762, is 2.

Now, the common factors can be found like this.

996:2x 2x 3x 83

176:2x 2x 2x 2x 11

756:2x 2x 3x 3x 3x 7

762:2x 3x 127

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 100983117312/(2x144)

LCM = 100983117312/288

LCM = 350635824

Thus, we can understand that the LCM of 996,176,756,762 is 350635824.

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

• LCM of 519, 588, 902, 204
• LCM of 674, 214, 454, 978
• LCM of 841, 464, 564, 649
• LCM of 241, 206, 867, 675
• LCM of 346, 532, 592, 712

1. What is the LCM of 996, 176, 756, 762?

Answer: LCM of 996, 176, 756, 762 is 350635824.

2. How to calculate the LCM of 996, 176, 756, 762?

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 996, 176, 756, 762.

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}.