Given numbers are 296,372,373,354,306

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

The LCM of 296,372,373,354,306 is 30896243496.

Find LCM of 296,372,373,354,306 with Prime Factorization

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

2 x 2 x 3 x 74 x 31 x 373 x 59 x 51 = 30896243496

Therefore, the lowest common multiple of 296,372,373,354,306 is 30896243496.

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.

296 x 372 x 373 x 354 x 306 = 4449059063424

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

373 : 1, 373

354 : 1, 2, 3, 6, 59, 118, 177, 354

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,372,373,354,306, is 1.

Now, the common factors can be found like this.

296:2x 2x 2x 37

372:2x 2x 3x 31

373:373

354:2x 3x 59

306:2x 3x 3x 17

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 = 4449059063424/(1x144)

LCM = 4449059063424/144

LCM = 30896243496

Thus, we can understand that the LCM of 296,372,373,354,306 is 30896243496.

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

• LCM of 574, 583, 506, 267, 975
• LCM of 961, 353, 445, 163, 549
• LCM of 692, 374, 361, 603, 152
• LCM of 802, 725, 739, 351, 686
• LCM of 938, 921, 503, 437, 882

1. What is the LCM of 296, 372, 373, 354, 306?

Answer: LCM of 296, 372, 373, 354, 306 is 30896243496.

2. How to calculate the LCM of 296, 372, 373, 354, 306?

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 296, 372, 373, 354, 306.

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}.