Given numbers are 660,209,121,828,933

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

The LCM of 660,209,121,828,933 is 2960054460.

Find LCM of 660,209,121,828,933 with Prime Factorization

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

2 x 2 x 3 x 11 x 5 x 19 x 11 x 69 x 311 = 2960054460

Therefore, the lowest common multiple of 660,209,121,828,933 is 2960054460.

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.

660 x 209 x 121 x 828 x 933 = 12893997227760

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

209 : 1, 11, 19, 209

121 : 1, 11, 121

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

933 : 1, 3, 311, 933

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,209,121,828,933, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

209:11x 19

121:11x 11

828:2x 2x 3x 3x 23

933:3x 311

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 3x 3x 11x 11 = 4356

Therefore, the value for common factors is 4356.

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 = 12893997227760/(1x4356)

LCM = 12893997227760/4356

LCM = 2960054460

Thus, we can understand that the LCM of 660,209,121,828,933 is 2960054460.

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

• LCM of 129, 783, 208, 969, 628
• LCM of 280, 862, 757, 821, 219
• LCM of 273, 212, 180, 377, 137
• LCM of 801, 641, 293, 930, 116
• LCM of 871, 548, 446, 565, 965

1. What is the LCM of 660, 209, 121, 828, 933?

Answer: LCM of 660, 209, 121, 828, 933 is 2960054460.

2. How to calculate the LCM of 660, 209, 121, 828, 933?

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 660, 209, 121, 828, 933.

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}.