Given numbers are 240,528,942,876

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

The LCM of 240,528,942,876 is 30257040.

Find LCM of 240,528,942,876 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 11 x 157 x 73 = 30257040

Therefore, the lowest common multiple of 240,528,942,876 is 30257040.

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.

240 x 528 x 942 x 876 = 104568330240

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.

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

942 : 1, 2, 3, 6, 157, 314, 471, 942

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,528,942,876, is 6.

Now, the common factors can be found like this.

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

528:2x 2x 2x 2x 3x 11

942:2x 3x 157

876:2x 2x 3x 73

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 2x 2x 2x 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 104568330240/(6x576)

LCM = 104568330240/3456

LCM = 30257040

Thus, we can understand that the LCM of 240,528,942,876 is 30257040.

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

• LCM of 985, 924, 899, 785
• LCM of 921, 555, 367, 474
• LCM of 654, 874, 608, 185
• LCM of 456, 409, 913, 905
• LCM of 665, 547, 688, 372

1. What is the LCM of 240, 528, 942, 876?

Answer: LCM of 240, 528, 942, 876 is 30257040.

2. How to calculate the LCM of 240, 528, 942, 876?

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 240, 528, 942, 876.

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}.