Given numbers are 150,810,829,240,121

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

The LCM of 150,810,829,240,121 is 3250011600.

Find LCM of 150,810,829,240,121 with Prime Factorization

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

2 x 3 x 5 x 5 x 27 x 829 x 8 x 121 = 3250011600

Therefore, the lowest common multiple of 150,810,829,240,121 is 3250011600.

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.

150 x 810 x 829 x 240 x 121 = 2925010440000

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.

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

829 : 1, 829

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

121 : 1, 11, 121

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 150,810,829,240,121, is 1.

Now, the common factors can be found like this.

150:2x 3x 5x 5

810:2x 3x 3x 3x 3x 5

829:829

240:2x 2x 2x 2x 3x 5

121:11x 11

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 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 2925010440000/(1x900)

LCM = 2925010440000/900

LCM = 3250011600

Thus, we can understand that the LCM of 150,810,829,240,121 is 3250011600.

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

• LCM of 762, 123, 400, 700, 796
• LCM of 804, 441, 941, 194, 254
• LCM of 459, 989, 889, 268, 940
• LCM of 617, 361, 742, 394, 102
• LCM of 136, 585, 892, 440, 959

1. What is the LCM of 150, 810, 829, 240, 121?

Answer: LCM of 150, 810, 829, 240, 121 is 3250011600.

2. How to calculate the LCM of 150, 810, 829, 240, 121?

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 150, 810, 829, 240, 121.

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}.