Given numbers are 842,546,528,422,540

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

The LCM of 842,546,528,422,540 is 192066834960.

Find LCM of 842,546,528,422,540 with Prime Factorization

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

2 x 2 x 3 x 421 x 91 x 44 x 211 x 45 = 192066834960

Therefore, the lowest common multiple of 842,546,528,422,540 is 192066834960.

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.

842 x 546 x 528 x 422 x 540 = 55315248468480

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.

842 : 1, 2, 421, 842

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

422 : 1, 2, 211, 422

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,546,528,422,540, is 2.

Now, the common factors can be found like this.

842:2x 421

546:2x 3x 7x 13

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

422:2x 211

540:2x 2x 3x 3x 3x 5

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 55315248468480/(2x144)

LCM = 55315248468480/288

LCM = 192066834960

Thus, we can understand that the LCM of 842,546,528,422,540 is 192066834960.

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

• LCM of 278, 910, 650, 987, 133
• LCM of 598, 363, 748, 437, 907
• LCM of 172, 580, 131, 601, 203
• LCM of 635, 515, 205, 254, 166
• LCM of 577, 680, 847, 587, 151

1. What is the LCM of 842, 546, 528, 422, 540?

Answer: LCM of 842, 546, 528, 422, 540 is 192066834960.

2. How to calculate the LCM of 842, 546, 528, 422, 540?

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 842, 546, 528, 422, 540.

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}.