Given numbers are 675,927,696,531,741

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

The LCM of 675,927,696,531,741 is 235059575400.

Find LCM of 675,927,696,531,741 with Prime Factorization

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

3 x 3 x 75 x 103 x 232 x 59 x 247 = 235059575400

Therefore, the lowest common multiple of 675,927,696,531,741 is 235059575400.

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.

675 x 927 x 696 x 531 x 741 = 171358430466600

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.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

927 : 1, 3, 9, 103, 309, 927

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

531 : 1, 3, 9, 59, 177, 531

741 : 1, 3, 13, 19, 39, 57, 247, 741

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,927,696,531,741, is 3.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

927:3x 3x 103

696:2x 2x 2x 3x 29

531:3x 3x 59

741:3x 13x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3x 3x 3 = 243

Therefore, the value for common factors is 243.

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 = 171358430466600/(3x243)

LCM = 171358430466600/729

LCM = 235059575400

Thus, we can understand that the LCM of 675,927,696,531,741 is 235059575400.

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

• LCM of 640, 812, 277, 747, 833
• LCM of 911, 851, 365, 284, 810
• LCM of 253, 801, 248, 475, 896
• LCM of 940, 475, 171, 590, 500
• LCM of 712, 612, 158, 607, 306

1. What is the LCM of 675, 927, 696, 531, 741?

Answer: LCM of 675, 927, 696, 531, 741 is 235059575400.

2. How to calculate the LCM of 675, 927, 696, 531, 741?

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 675, 927, 696, 531, 741.

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}.