Given numbers are 261,286,727,742

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

The LCM of 261,286,727,742 is 20133295182.

Find LCM of 261,286,727,742 with Prime Factorization

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

2 x 261 x 143 x 727 x 371 = 20133295182

Therefore, the lowest common multiple of 261,286,727,742 is 20133295182.

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.

261 x 286 x 727 x 742 = 40266590364

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.

261 : 1, 3, 9, 29, 87, 261

286 : 1, 2, 11, 13, 22, 26, 143, 286

727 : 1, 727

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,286,727,742, is 1.

Now, the common factors can be found like this.

261:3x 3x 29

286:2x 11x 13

727:727

742:2x 7x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 40266590364/(1x2)

LCM = 40266590364/2

LCM = 20133295182

Thus, we can understand that the LCM of 261,286,727,742 is 20133295182.

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

• LCM of 528, 522, 382, 561
• LCM of 989, 717, 943, 946
• LCM of 954, 142, 255, 175
• LCM of 463, 804, 305, 985
• LCM of 627, 385, 675, 706

1. What is the LCM of 261, 286, 727, 742?

Answer: LCM of 261, 286, 727, 742 is 20133295182.

2. How to calculate the LCM of 261, 286, 727, 742?

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 261, 286, 727, 742.

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}.