Given numbers are 676,912,840,125,271

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

The LCM of 676,912,840,125,271 is 36547602000.

Find LCM of 676,912,840,125,271 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 169 x 38 x 7 x 25 x 271 = 36547602000

Therefore, the lowest common multiple of 676,912,840,125,271 is 36547602000.

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.

676 x 912 x 840 x 125 x 271 = 17542848960000

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

125 : 1, 5, 25, 125

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,912,840,125,271, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

912:2x 2x 2x 2x 3x 19

840:2x 2x 2x 3x 5x 7

125:5x 5x 5

271:271

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 5 = 480

Therefore, the value for common factors is 480.

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 = 17542848960000/(1x480)

LCM = 17542848960000/480

LCM = 36547602000

Thus, we can understand that the LCM of 676,912,840,125,271 is 36547602000.

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

• LCM of 418, 266, 752, 855, 596
• LCM of 857, 183, 610, 282, 269
• LCM of 527, 573, 686, 981, 971
• LCM of 373, 869, 338, 593, 758
• LCM of 693, 400, 280, 311, 219

1. What is the LCM of 676, 912, 840, 125, 271?

Answer: LCM of 676, 912, 840, 125, 271 is 36547602000.

2. How to calculate the LCM of 676, 912, 840, 125, 271?

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 676, 912, 840, 125, 271.

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}.