Given numbers are 274,660,986,896

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

The LCM of 274,660,986,896 is 9985261440.

Find LCM of 274,660,986,896 with Prime Factorization

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

2 x 2 x 137 x 165 x 493 x 224 = 9985261440

Therefore, the lowest common multiple of 274,660,986,896 is 9985261440.

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.

274 x 660 x 986 x 896 = 159764183040

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.

274 : 1, 2, 137, 274

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

986 : 1, 2, 17, 29, 34, 58, 493, 986

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 274,660,986,896, is 2.

Now, the common factors can be found like this.

274:2x 137

660:2x 2x 3x 5x 11

986:2x 17x 29

896:2x 2x 2x 2x 2x 2x 2x 7

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 2 = 8

Therefore, the value for common factors is 8.

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 = 159764183040/(2x8)

LCM = 159764183040/16

LCM = 9985261440

Thus, we can understand that the LCM of 274,660,986,896 is 9985261440.

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

• LCM of 205, 870, 602, 694
• LCM of 210, 333, 432, 617
• LCM of 329, 730, 375, 168
• LCM of 890, 433, 867, 516
• LCM of 767, 649, 807, 470

1. What is the LCM of 274, 660, 986, 896?

Answer: LCM of 274, 660, 986, 896 is 9985261440.

2. How to calculate the LCM of 274, 660, 986, 896?

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 274, 660, 986, 896.

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}.