Given numbers are 672,442,378,361,547

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

The LCM of 672,442,378,361,547 is 263935971936.

Find LCM of 672,442,378,361,547 with Prime Factorization

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

2 x 3 x 7 x 16 x 221 x 9 x 361 x 547 = 263935971936

Therefore, the lowest common multiple of 672,442,378,361,547 is 263935971936.

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.

672 x 442 x 378 x 361 x 547 = 22170621642624

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.

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

361 : 1, 19, 361

547 : 1, 547

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,442,378,361,547, is 1.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

442:2x 13x 17

378:2x 3x 3x 3x 7

361:19x 19

547:547

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 22170621642624/(1x84)

LCM = 22170621642624/84

LCM = 263935971936

Thus, we can understand that the LCM of 672,442,378,361,547 is 263935971936.

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

• LCM of 171, 269, 529, 639, 962
• LCM of 837, 155, 489, 654, 398
• LCM of 942, 780, 981, 222, 653
• LCM of 465, 983, 320, 980, 782
• LCM of 329, 595, 666, 906, 683

1. What is the LCM of 672, 442, 378, 361, 547?

Answer: LCM of 672, 442, 378, 361, 547 is 263935971936.

2. How to calculate the LCM of 672, 442, 378, 361, 547?

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 672, 442, 378, 361, 547.

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}.