Given numbers are 924,596,276,672,721

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

The LCM of 924,596,276,672,721 is 2609235552.

Find LCM of 924,596,276,672,721 with Prime Factorization

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

2 x 2 x 3 x 7 x 11 x 149 x 23 x 8 x 103 = 2609235552

Therefore, the lowest common multiple of 924,596,276,672,721 is 2609235552.

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.

924 x 596 x 276 x 672 x 721 = 73643064219648

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.

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

596 : 1, 2, 4, 149, 298, 596

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,596,276,672,721, is 1.

Now, the common factors can be found like this.

924:2x 2x 3x 7x 11

596:2x 2x 149

276:2x 2x 3x 23

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

721:7x 103

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 3x 3x 7x 7 = 28224

Therefore, the value for common factors is 28224.

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 = 73643064219648/(1x28224)

LCM = 73643064219648/28224

LCM = 2609235552

Thus, we can understand that the LCM of 924,596,276,672,721 is 2609235552.

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

• LCM of 126, 228, 997, 557, 701
• LCM of 956, 650, 246, 628, 311
• LCM of 780, 490, 945, 712, 901
• LCM of 717, 286, 426, 184, 445
• LCM of 579, 615, 605, 495, 733

1. What is the LCM of 924, 596, 276, 672, 721?

Answer: LCM of 924, 596, 276, 672, 721 is 2609235552.

2. How to calculate the LCM of 924, 596, 276, 672, 721?

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 924, 596, 276, 672, 721.

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}.