Given numbers are 291,348,816,396,672

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

The LCM of 291,348,816,396,672 is 1060478496.

Find LCM of 291,348,816,396,672 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 97 x 29 x 17 x 33 x 14 = 1060478496

Therefore, the lowest common multiple of 291,348,816,396,672 is 1060478496.

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.

291 x 348 x 816 x 396 x 672 = 21990082093056

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.

291 : 1, 3, 97, 291

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 291,348,816,396,672, is 3.

Now, the common factors can be found like this.

291:3x 97

348:2x 2x 3x 29

816:2x 2x 2x 2x 3x 17

396:2x 2x 3x 3x 11

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 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 = 21990082093056/(3x6912)

LCM = 21990082093056/20736

LCM = 1060478496

Thus, we can understand that the LCM of 291,348,816,396,672 is 1060478496.

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

• LCM of 813, 321, 639, 598, 251
• LCM of 701, 263, 229, 137, 905
• LCM of 304, 229, 124, 768, 970
• LCM of 719, 641, 761, 670, 637
• LCM of 416, 287, 150, 438, 287

1. What is the LCM of 291, 348, 816, 396, 672?

Answer: LCM of 291, 348, 816, 396, 672 is 1060478496.

2. How to calculate the LCM of 291, 348, 816, 396, 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 291, 348, 816, 396, 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}.