Given numbers are 317,298,612,193,672

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

The LCM of 317,298,612,193,672 is 312422489568.

Find LCM of 317,298,612,193,672 with Prime Factorization

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

2 x 2 x 3 x 317 x 149 x 51 x 193 x 56 = 312422489568

Therefore, the lowest common multiple of 317,298,612,193,672 is 312422489568.

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.

317 x 298 x 612 x 193 x 672 = 7498139749632

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.

317 : 1, 317

298 : 1, 2, 149, 298

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

193 : 1, 193

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,298,612,193,672, is 1.

Now, the common factors can be found like this.

317:317

298:2x 149

612:2x 2x 3x 3x 17

193:193

672:2x 2x 2x 2x 2x 3x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 7498139749632/(1x24)

LCM = 7498139749632/24

LCM = 312422489568

Thus, we can understand that the LCM of 317,298,612,193,672 is 312422489568.

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

• LCM of 715, 703, 522, 713, 126
• LCM of 882, 893, 486, 832, 582
• LCM of 710, 386, 750, 259, 946
• LCM of 416, 509, 366, 469, 127
• LCM of 952, 187, 858, 994, 540

1. What is the LCM of 317, 298, 612, 193, 672?

Answer: LCM of 317, 298, 612, 193, 672 is 312422489568.

2. How to calculate the LCM of 317, 298, 612, 193, 672?

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 317, 298, 612, 193, 672.

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}.