Given numbers are 496,319,117,194,338

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

The LCM of 496,319,117,194,338 is 23343894288.

Find LCM of 496,319,117,194,338 with Prime Factorization

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

2 x 13 x 248 x 319 x 9 x 97 x 13 = 23343894288

Therefore, the lowest common multiple of 496,319,117,194,338 is 23343894288.

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.

496 x 319 x 117 x 194 x 338 = 1213882502976

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.

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

319 : 1, 11, 29, 319

117 : 1, 3, 9, 13, 39, 117

194 : 1, 2, 97, 194

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,319,117,194,338, is 1.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

319:11x 29

117:3x 3x 13

194:2x 97

338:2x 13x 13

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 13 = 52

Therefore, the value for common factors is 52.

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 = 1213882502976/(1x52)

LCM = 1213882502976/52

LCM = 23343894288

Thus, we can understand that the LCM of 496,319,117,194,338 is 23343894288.

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

• LCM of 621, 946, 828, 100, 245
• LCM of 485, 265, 717, 533, 168
• LCM of 475, 576, 581, 859, 525
• LCM of 277, 510, 431, 802, 816
• LCM of 322, 294, 293, 522, 753

1. What is the LCM of 496, 319, 117, 194, 338?

Answer: LCM of 496, 319, 117, 194, 338 is 23343894288.

2. How to calculate the LCM of 496, 319, 117, 194, 338?

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 496, 319, 117, 194, 338.

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}.