Given numbers are 107,221,908,936,546

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

The LCM of 107,221,908,936,546 is 2705405976.

Find LCM of 107,221,908,936,546 with Prime Factorization

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

2 x 2 x 3 x 13 x 107 x 17 x 227 x 6 x 7 = 2705405976

Therefore, the lowest common multiple of 107,221,908,936,546 is 2705405976.

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.

107 x 221 x 908 x 936 x 546 = 10973126638656

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.

107 : 1, 107

221 : 1, 13, 17, 221

908 : 1, 2, 4, 227, 454, 908

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,221,908,936,546, is 1.

Now, the common factors can be found like this.

107:107

221:13x 17

908:2x 2x 227

936:2x 2x 2x 3x 3x 13

546:2x 3x 7x 13

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 3x 13x 13 = 4056

Therefore, the value for common factors is 4056.

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 = 10973126638656/(1x4056)

LCM = 10973126638656/4056

LCM = 2705405976

Thus, we can understand that the LCM of 107,221,908,936,546 is 2705405976.

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

• LCM of 921, 915, 884, 976, 391
• LCM of 729, 361, 937, 856, 720
• LCM of 912, 806, 279, 906, 374
• LCM of 462, 646, 228, 311, 673
• LCM of 406, 278, 142, 337, 320

1. What is the LCM of 107, 221, 908, 936, 546?

Answer: LCM of 107, 221, 908, 936, 546 is 2705405976.

2. How to calculate the LCM of 107, 221, 908, 936, 546?

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 107, 221, 908, 936, 546.

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}.