Given numbers are 546,172,276,125,540

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

The LCM of 546,172,276,125,540 is 1214986500.

Find LCM of 546,172,276,125,540 with Prime Factorization

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

2 x 2 x 3 x 5 x 91 x 43 x 23 x 25 x 9 = 1214986500

Therefore, the lowest common multiple of 546,172,276,125,540 is 1214986500.

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.

546 x 172 x 276 x 125 x 540 = 1749580560000

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.

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

172 : 1, 2, 4, 43, 86, 172

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

125 : 1, 5, 25, 125

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,172,276,125,540, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

172:2x 2x 43

276:2x 2x 3x 23

125:5x 5x 5

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 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 1749580560000/(1x1440)

LCM = 1749580560000/1440

LCM = 1214986500

Thus, we can understand that the LCM of 546,172,276,125,540 is 1214986500.

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

• LCM of 489, 211, 861, 553, 744
• LCM of 892, 635, 548, 897, 133
• LCM of 616, 672, 413, 457, 692
• LCM of 875, 771, 335, 171, 985
• LCM of 938, 885, 816, 552, 891

1. What is the LCM of 546, 172, 276, 125, 540?

Answer: LCM of 546, 172, 276, 125, 540 is 1214986500.

2. How to calculate the LCM of 546, 172, 276, 125, 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 546, 172, 276, 125, 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}.