Given numbers are 783,642,194,924,118

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

The LCM of 783,642,194,924,118 is 147679428204.

Find LCM of 783,642,194,924,118 with Prime Factorization

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

2 x 3 x 261 x 107 x 97 x 154 x 59 = 147679428204

Therefore, the lowest common multiple of 783,642,194,924,118 is 147679428204.

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.

783 x 642 x 194 x 924 x 118 = 10632918830688

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.

783 : 1, 3, 9, 27, 29, 87, 261, 783

642 : 1, 2, 3, 6, 107, 214, 321, 642

194 : 1, 2, 97, 194

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

118 : 1, 2, 59, 118

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,642,194,924,118, is 1.

Now, the common factors can be found like this.

783:3x 3x 3x 29

642:2x 3x 107

194:2x 97

924:2x 2x 3x 7x 11

118:2x 59

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 3 = 72

Therefore, the value for common factors is 72.

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 = 10632918830688/(1x72)

LCM = 10632918830688/72

LCM = 147679428204

Thus, we can understand that the LCM of 783,642,194,924,118 is 147679428204.

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

• LCM of 476, 400, 443, 108, 269
• LCM of 155, 767, 584, 447, 676
• LCM of 885, 182, 681, 536, 409
• LCM of 180, 320, 306, 357, 180
• LCM of 159, 734, 703, 648, 753

1. What is the LCM of 783, 642, 194, 924, 118?

Answer: LCM of 783, 642, 194, 924, 118 is 147679428204.

2. How to calculate the LCM of 783, 642, 194, 924, 118?

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 783, 642, 194, 924, 118.

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}.