Given numbers are 852,186,460,528,781

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

The LCM of 852,186,460,528,781 is 133644720.

Find LCM of 852,186,460,528,781 with Prime Factorization

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

2 x 2 x 3 x 11 x 71 x 1 x 31 x 115 x 4 x 1 = 133644720

Therefore, the lowest common multiple of 852,186,460,528,781 is 133644720.

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.

852 x 186 x 460 x 528 x 781 = 30060439580160

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.

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

186 : 1, 2, 3, 6, 31, 62, 93, 186

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

781 : 1, 11, 71, 781

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,186,460,528,781, is 1.

Now, the common factors can be found like this.

852:2x 2x 3x 71

186:2x 3x 31

460:2x 2x 5x 23

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

781:11x 71

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 3x 3x 11x 71 = 224928

Therefore, the value for common factors is 224928.

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 = 30060439580160/(1x224928)

LCM = 30060439580160/224928

LCM = 133644720

Thus, we can understand that the LCM of 852,186,460,528,781 is 133644720.

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

• LCM of 233, 905, 899, 250, 857
• LCM of 973, 806, 700, 433, 985
• LCM of 942, 345, 333, 988, 644
• LCM of 178, 658, 477, 937, 144
• LCM of 929, 504, 704, 607, 496

1. What is the LCM of 852, 186, 460, 528, 781?

Answer: LCM of 852, 186, 460, 528, 781 is 133644720.

2. How to calculate the LCM of 852, 186, 460, 528, 781?

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 852, 186, 460, 528, 781.

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}.