Given numbers are 674,120,372,312,696

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

The LCM of 674,120,372,312,696 is 472622280.

Find LCM of 674,120,372,312,696 with Prime Factorization

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

2 x 2 x 2 x 3 x 337 x 5 x 31 x 13 x 29 = 472622280

Therefore, the lowest common multiple of 674,120,372,312,696 is 472622280.

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.

674 x 120 x 372 x 312 x 696 = 6533530398720

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.

674 : 1, 2, 337, 674

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,120,372,312,696, is 2.

Now, the common factors can be found like this.

674:2x 337

120:2x 2x 2x 3x 5

372:2x 2x 3x 31

312:2x 2x 2x 3x 13

696:2x 2x 2x 3x 29

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 2x 2x 2x 2x 3x 3x 3 = 6912

Therefore, the value for common factors is 6912.

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 = 6533530398720/(2x6912)

LCM = 6533530398720/13824

LCM = 472622280

Thus, we can understand that the LCM of 674,120,372,312,696 is 472622280.

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

• LCM of 420, 431, 180, 681, 762
• LCM of 172, 584, 613, 183, 536
• LCM of 734, 955, 134, 983, 849
• LCM of 416, 591, 361, 353, 253
• LCM of 686, 611, 802, 845, 563

1. What is the LCM of 674, 120, 372, 312, 696?

Answer: LCM of 674, 120, 372, 312, 696 is 472622280.

2. How to calculate the LCM of 674, 120, 372, 312, 696?

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 674, 120, 372, 312, 696.

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}.