Given numbers are 744,969,840,403,201

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

The LCM of 744,969,840,403,201 is 7325911320.

Find LCM of 744,969,840,403,201 with Prime Factorization

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

2 x 2 x 2 x 3 x 31 x 1 x 323 x 35 x 13 x 67 = 7325911320

Therefore, the lowest common multiple of 744,969,840,403,201 is 7325911320.

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.

744 x 969 x 840 x 403 x 201 = 49054302198720

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.

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

969 : 1, 3, 17, 19, 51, 57, 323, 969

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

403 : 1, 13, 31, 403

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 744,969,840,403,201, is 1.

Now, the common factors can be found like this.

744:2x 2x 2x 3x 31

969:3x 17x 19

840:2x 2x 2x 3x 5x 7

403:13x 31

201:3x 67

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 3x 3x 3x 31 = 6696

Therefore, the value for common factors is 6696.

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 = 49054302198720/(1x6696)

LCM = 49054302198720/6696

LCM = 7325911320

Thus, we can understand that the LCM of 744,969,840,403,201 is 7325911320.

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

• LCM of 996, 404, 629, 477, 364
• LCM of 673, 346, 113, 812, 586
• LCM of 401, 969, 753, 677, 948
• LCM of 747, 569, 597, 513, 398
• LCM of 255, 456, 780, 934, 933

1. What is the LCM of 744, 969, 840, 403, 201?

Answer: LCM of 744, 969, 840, 403, 201 is 7325911320.

2. How to calculate the LCM of 744, 969, 840, 403, 201?

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 744, 969, 840, 403, 201.

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}.