Given numbers are 271,707,679,840,894

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

The LCM of 271,707,679,840,894 is 332298172920.

Find LCM of 271,707,679,840,894 with Prime Factorization

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

2 x 3 x 7 x 271 x 101 x 97 x 20 x 149 = 332298172920

Therefore, the lowest common multiple of 271,707,679,840,894 is 332298172920.

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.

271 x 707 x 679 x 840 x 894 = 97695662838480

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.

271 : 1, 271

707 : 1, 7, 101, 707

679 : 1, 7, 97, 679

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,707,679,840,894, is 1.

Now, the common factors can be found like this.

271:271

707:7x 101

679:7x 97

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

894:2x 3x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 7x 7 = 294

Therefore, the value for common factors is 294.

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 = 97695662838480/(1x294)

LCM = 97695662838480/294

LCM = 332298172920

Thus, we can understand that the LCM of 271,707,679,840,894 is 332298172920.

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

• LCM of 914, 516, 466, 904, 723
• LCM of 972, 814, 826, 692, 179
• LCM of 974, 899, 756, 226, 480
• LCM of 967, 868, 496, 551, 342
• LCM of 266, 806, 120, 171, 450

1. What is the LCM of 271, 707, 679, 840, 894?

Answer: LCM of 271, 707, 679, 840, 894 is 332298172920.

2. How to calculate the LCM of 271, 707, 679, 840, 894?

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 271, 707, 679, 840, 894.

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}.